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@ -228,73 +228,83 @@ Here is a table of some numbers and "number like objects" worthy of mention, mos
| one half | 0.5 | 2^-1 | |
| one over square root of two | 0.707106... | 1/sqrt(2), sin(pi/4), cos(pi/4), 2^(-1/2)| |
| [one](one.md) | 1 |2^0, 0!, 0.999..., sqrt(1), I, 0b1, cos(0)| NOT a prime, unit, multiplicative identity |
| [square root](sqrt.md) of two | 1.414213... | sqrt(2), 2^(1/2) | irrational, diagonal of unit square, important in geom. |
| [square root](sqrt.md) of two | 1.414213... | sqrt(2), 2^(1/2), 0b1.0110101 | irrational, diagonal of unit square, important in geom. |
| supergolden ratio | 1.465571... | solve(x^3 - x^2 - 1 = 0) | similar to golden ratio, bit more difficult to compute |
|phi ([golden ratio](golden_ratio.md))| 1.618033... | (1 + sqrt(5)) / 2, solve(x^2 - x - 1 = 0)| irrational, visually pleasant ratio, divine proportion |
| square root of three | 1.732050... | sqrt(3), 3^(1/2) | irrational |
| square root of three | 1.732050... | sqrt(3), 3^(1/2), 0b1.1011101 | irrational |
| [two](two.md) | 2 | 2^1, 2!, 2!!, 0b000010, II, 0b10 | (only even) prime, base of [binary](binary.md) system |
| [silver ratio](silver_ratio.md) | 2.414213... | 1 + sqrt(2), solve(x^2 - 2 * x - 1 = 0) | similar to golden ratio |
| [e](e.md) (Euler's number) | 2.718281... | | base of natural [logarithm](log.md) |
| [three](three.md) | 3 | 2^2 - 1, III, Ob11 | prime, max. number on 2 bits, regular plane tilings |
| [pi](pi.md) | 3.141592... | 2 * asin(1) | circle circumference to its diameter, irrational |
| [e](e.md) (Euler's number) | 2.718281... | 0b10.1011011 | base of natural [logarithm](log.md) |
| [three](three.md) | 3 | 2^2 - 1, III, Ob11, 2^1.584... | prime, max. number on 2 bits, regular plane tilings |
| [pi](pi.md) | 3.141592... | 2 * asin(1), 0b11.0010010 | circle circumference to its diameter, irrational |
| [four](four.md) | 4 | 2^2, 0b000100, IV, 0b100 |first composite number, min. needed to color planar graph|
| [five](five.md) | 5 | 3^2 - 2^2, V, 0b101 | (twin) prime, number of platonic solids |
| [five](five.md) | 5 | 3^2 - 2^2, V, 0b101, fib(5) | (twin, triplet) prime, number of platonic solids, Fib. |
| [six](six.md) | 6 | 3!, 1 * 2 * 3, 1 + 2 + 3, VI, 0b110 | highly composite number, perfect number |
| [tau](tau.md) | 6.283185... | 2 * pi | radians in full circle, defined mostly for convenience |
| [tau](tau.md) | 6.283185... | 2 * pi, 360 degrees | radians in full circle, defined mostly for convenience |
| [thrembo](thrembo.md) | ??? | | the hidden number |
| [seven](seven.md) | 7 | 2^3 - 1, VII, 0b111 |(twin) prime, days in week, max. unsigned n. with 3 bits |
| [eight](eight.md) | 8 | 2^3, 0b001000, VIII, 0b1000 | base of [octal](oct.md) system |
| [eight](eight.md) | 8 | 2^3, 0b001000, VIII, 0b1000, fib(6) | base of [octal](oct.md) system, 7th Fibonacci number |
| [nine](nine.md) | 9 | 3^3, 1^3 + 2^3, sqrt(81), IX, 0b1001 | |
| [ten](ten.md) | 10 | 10^1, 1 + 2 + 3 + 4, X, 0b1010 | your IQ? :D base of our decimal system |
| eleven | 11 | XI, 0b1011 | palindromic prime |
| [ten](ten.md) | 10 |10^1, 1 + 2 + 3 + 4, X, 0b1010, 2^3.321...| your IQ? :D base of our decimal system |
| eleven | 11 | XI, 0b1011 | palindromic twin prime |
| twelve, dozen | 12 | 2 * 2 * 3, XII, 0b1100 | highly composite number |
| thirteen | 13 | fib(7), XIII, 0b1101 | prime considered unlucky (in west and China), Fib. num. |
| fourteen | 14 | XIV, 0b1110 | |
| fifteen | 15 | 2^4 - 1, 0b1111, 0x0f, 1 + 2 + 3 + 4 + 5 | maximum unsigned number storable with 4 bits |
| [sixteen](sixteen.md) | 16 | 2^4, 2^2^2, 0b010000, 0x10, XVI | base of [hexadecimal](hex.md) system |
| twenty one | 21 | BB(3), XXI | maximum number of 1s produced by 3 state Turing Machine |
| [sixteen](sixteen.md) | 16 | 2^4, 4^2, 2^2^2, 0b010000, 0x10, XVI | base of [hexadecimal](hex.md) system |
| seventeen | 17 | 0b10001, 0x11, XVII | twin&sexy prime, binary palindrome |
| eighteen | 18 | 0b10010, 0x12, XVIII | |
| nineteen | 19 | 0b10011, 0x13, XIX | twin&sexy prime |
| twenty | 20 | 0b10100, 0x14, XX | |
| twenty one | 21 | 0b10101, 0x15, BB(3), fib(8), 0x15, XXI | maximum number of 1s produced by 3 state Turing Machine |
| twenty four | 24 | 2 * 2 * 2 * 3, 4!, XXIV |highly composite number, possible ways to order 4 objects|
| twenty five | 25 | 5^2, sqrt(625), XXV | |
| thirty one | 31 | 2^5 - 1, 0b11111, 0x1f, XXXI |max. unsigned number storable with 5 bits, Mersenne prime|
| [thirty two](thirty_two.md) | 32 | 2^5, 0b100000, 0x20, XXXII | number of possible values storable with 5 bits |
| thirty three | 33 | 1! + 2! + 3! + 4!, XXXIII | |
| thirty four | 34 | fib(9), 0x22, XXXIV | Fibonacci number |
| thirty six | 36 | 2 * 2 * 3 * 3, XXXVI | highly composite number |
| thirty seven | 37 | XXXVII | most commonly chosen 1 to 100 "random" number |
| [forty two](42.md) | 42 | XLII | cringe number, answer to some stuff |
| thirty seven | 37 | 0b100101, 0x25, XXXVII | most commonly picked 1 to 100 "random", permutable prime|
| [forty two](42.md) | 42 | XLII | cringe number, answer to some stuff, unlucky in Japan |
| forty eight | 48 |2^5 + 2^4, 2 * 2 * 2 * 2 * 3, XLVIII, 0x30| highly composite number |
| forty nine | 49 | 7^2 | |
| fifty | 50 | L | |
| fifty five | 55 | 1 + 2 + ... + 10, LV | sum of numbers up to 10 |
| fifty five | 55 | fib(10), 1 + 2 + ... + 10, LV | sum of numbers up to 10, 11th Fibonacci number |
| sixty | 60 | 0x3c, LX | highly composite number, used in time measuring |
| sixty three | 63 | 2^6 - 1, LXIII | maximum unsigned number storable with 6 bits |
| [sixty four](sixty_four.md) | 64 | 2^6, LXIV, 0x40 | number of squares on a chess board |
| [sixty nine](69.md) | 69 | LXIX | sexual position |
| eighty one | 81 | 3^4, 9*9, XXCI | |
| eighty nine | 89 | fib(11), 0x59, LXXXIX | Fibonacci number |
| ninety six | 96 | 2^5 + 2^6, 5! - 4!, 0x60 | alternative sexual position |
| one hundred | 100 | 10^2, 0x64, C | |
| one hundred seven | 107 | BB(4) | maximum number of 1s produced by 4 state Turing machine |
| one hundred twenty | 120 | 5!, C(10,3), CXX | possible ways to order 5 objects |
| one hundred | 100 | 10^2, 0x64, C, 2^6.643... | |
| one hundred seven | 107 | BB(4), CVII | maximum number of 1s produced by 4 state Turing machine |
| one hundred twenty | 120 | 5!, C(10,3), CXX | possible ways to order 5 objects, highly composite |
| one hundred twenty one | 121 | 11^2, CXXI | [palindromic](palindrome.md) |
| one hundred twenty five | 125 | 5^3, CXXV | |
| one hundred twenty seven | 127 | 2^7 - 1, 0x7f, 0b01111111, CXXVII | maximum value of signed byte, Mersenne prime |
| one hundred twenty eight | 128 | 2^7, 0x80, 0b10000000, CXXVIII | |
| one hundred forty four | 144 | 12^2, CXLIV | |
| one hundred twenty eight | 128 | 2^7, 0x80, CXXVIII, 10^2.107... | |
| one hundred forty four | 144 | 12^2, fib(12), CXLIV | 13th Fibonacci number |
| one hundred sixty eight | 168 | 24 * 7, CLXVIII | hours in week |
| two hundred forty three | 243 | 3^5, CCXLIII | |
| two hundred fifty five | 255 | 2^8 - 1, 0xff, 0b11111111, CCLV | maximum value of unsigned [byte](byte.md) |
| two hundred fifty six | 256 | 2^8, 16^2, 0x100, ((2^2)^2)^2, CCLVI | number of values that can be stored in one byte |
| three hundred forty three | 343 | 7^3, CCCXLIII | |
| two hundred forty three | 243 | 3^5, 0xf3, CCXLIII | |
| two hundred fifty five | 255 | 2^8 - 1, 0xff, 0b11111111, CCLV |maximum value of unsigned [byte](byte.md), hex palindrome|
| two hundred fifty six | 256 | 2^8, 4^4, 16^2, 0x100, ((2^2)^2)^2, CCLVI| number of values that can be stored in one byte |
| three hundred forty three | 343 | 7^3, CCCXLIII | palindrome |
| three hundred sixty | 360 | 2 * 2 * 2 * 3 * 3 * 5, CCCLX | highly composite number, degrees in full circle |
| three hundred sixty five | 365 | CCCLXV | days in a year |
| four hundred twenty | 420 | CDXX | stoner shit (they smoke it at 4:20), divisible by 1 to 7|
| three hundred sixty five | 365 | 0x16d, CCCLXV | days in a year, binary palindrome |
| four hundred twenty | 420 | 0x1a4, CDXX | stoner shit (they smoke it at 4:20), divisible by 1 to 7|
| five hundred eleven | 511 | 2^9 - 1, DXI | largest number storable with 9 bits |
| five hundred twelve | 512 | 2^9, 2^(3^2), DXII | number of values storable with 9 bits |
| six hundred twenty five | 625 | 25^2, 5^4, DCXXV | |
| six hundred and sixty six | 666 | DCLXVI | number of the beast, palindromic |
| seven hundred twenty | 720 | 6!, 3!!, DCCXX | possible ways to order 6 objects |
| six hundred and sixty six | 666 | 0x29a, DCLXVI | number of the beast, palindromic |
| seven hundred twenty | 720 | 6!, 3!!, DCCXX | possible ways to order 6 objects, highly composite |
| seven hundred twenty nine | 729 | 3^6, (3^2)^3, DCCXXIX | |
| one thousand | 1000 | 10^3, M, 0x3e8 | |
| one thousand | 1000 | 10^3, M, 0x3e8, 2^9.965... | |
| one thousand twenty three | 1023 | 2^10 - 1, 0x3ff, MXXIII | largest number storable with 10 bits |
| one thousand twenty four | 1024 | 2^10, 0x400, MXXIV | number of values storable with 10 bits |
| one thousand twenty four | 1024 | 2^10, 4^5, 0x400, MXXIV, 10^3.010... | number of values storable with 10 bits |
| one thousand six hundred eighty | 1680 | 0x690, MDCLXXX | highly composite, often used as horizontal resolution |
| two thousand forty eight | 2048 | 2^11, 0x800, MMXLVIII | number of values storable with 11 bits |
|two thousand one hundred eighty seven| 2187 | 3^7, MMCXXCVII | |
|two thousand one hundred eighty seven| 2187 | 3^7, 0x88b, MMCLXXXVII | |
| two thousand four hundred one | 2401 | 7^4, MMCDI | |
| three thousand one hundred ... | 3125 | 5^5, MMMCXXV | |
| three thousand nine hundred ... | 3999 | MMMCMXCIX | largest number that can be written with Roman numerals |
@ -302,23 +312,24 @@ Here is a table of some numbers and "number like objects" worthy of mention, mos
| five thousand forty | 5040 | 7!, 1 * 2 * ... * 7 | possible ways to order 7 objects |
| five thousand fifty | 5050 | 1 + 2 + ... + 100 | sum of numbers up to 100 |
| six thousand five hundred sixty one | 6561 | 3^8, 3^(2^3) | |
| ten thousand | 10000 | 10^4, 100^2 | |
| fifteen thousand six hundred ... | 15625 | 5^6 | |
| sixteen thousand eight hundred ... | 16807 | 7^5 | |
| nineteen thousand six hundred ... | 19683 | 3^9, 3^(3^3) | |
|six thousand seven hundred sixty five| 6765 | fib(20), 0x1a6d | Fibonacci number |
| ten thousand | 10000 | 10^4, 100^2, 2^13.287... | |
| fifteen thousand six hundred ... | 15625 | 5^6, 0x3d09 | |
| sixteen thousand eight hundred ... | 16807 | 7^5, 0x41a7 | |
| nineteen thousand six hundred ... | 19683 | 3^9, 3^(3^3), 0x4ce3 | |
|thirty two thousand seven hundred ...| 32767 | 2^16 / 2 - 1, 0x7fff | maximum two's complement signed 16 bit number |
| forty thousand three hundred twenty | 40320 | 8!, 1 * 2 * ... * 8 | possible ways to order 8 objects |
| ... (enough lol) | 59049 | 3^10 | |
| forty thousand three hundred twenty | 40320 | 8!, 1 * 2 * ... * 8, 0x9d80 | possible ways to order 8 objects |
| ... (enough lol) | 59049 | 3^10, 0xe6a9 | |
| | 65504 | | largest number storable in IEEE-754 16 bit float |
| | 65535 | 2^16 - 1, 0xffff | maximum unsigned number storable with 16 bits |
| | 65536 | 2^16, 256^2, 0x10000, 2^(2^(2^2)) | number of values storable with 16 bits |
| | 72078 | | number of possible chess positions after 4 half moves |
| | 80085 | | looks like BOOBS |
| | 86400 | 60 * 60 * 24 | seconds in a day |
| hundred thousand | 100000 | 10^5 | |
| hundred thousand | 100000 | 10^5, 2^16.609... | |
| | 362880 | 9!, 1 * 2 * ... * 9 | possible ways to order 9 objects |
| | 500500 | 1 + 2 + ... + 1000 | sum of numbers up to 1000 |
| one [million](million.md) | 1000000 | 10^6 | |
| one [million](million.md) | 1000000 | 10^6, 0xf4240, 2^19.931... | |
| | 3197281 | | number of possible chess games after 4 half moves |
| | 3628800 | 10!, 1 * 2 * ... * 10 | possible ways to order 10 objects |
| | 16777216 | 2^24, 16^6, 0xffffff | number of distinct 24 bit values (e.g. RGB24 colors) |
@ -327,7 +338,7 @@ Here is a table of some numbers and "number like objects" worthy of mention, mos
| | 31556926 | | seconds in a year |
| | 39916800 | 11!, 1 * 2 * ... * 11 | possible ways to order 11 objects |
| | 479001600 | 12!, 1 * 2 * ... * 12 | possible ways to order 12 objects |
| one [billion](billion.md) | 1000000000 | 10^9, milliard | |
| one [billion](billion.md) | 1000000000 | 10^9, milliard, 0x3b9aca00, 2^29.897... | |
| | 2147483647 | 2^32 / 2 - 1 | maximum two's complement signed 32 bit number |
| | 3735928559 | 0xdeadbeef | one of famous hexadeciaml constants, spells out DEADBEEF|
| | 4294967295 | 2^32 - 1, 0xffffffff | maximum unsigned number storable with 32 bits |