| ||||
---|---|---|---|---|
Cardinal | fifty-eight | |||
Ordinal | 58th (fifty-eighth) | |||
Factorization | 2 × 29 | |||
Divisors | 1, 2, 29, 58 | |||
Greek numeral | ΝΗ´ | |||
Roman numeral | LVIII | |||
Binary | 1110102 | |||
Ternary | 20113 | |||
Senary | 1346 | |||
Octal | 728 | |||
Duodecimal | 4A12 | |||
Hexadecimal | 3A16 |
58 (fifty-eight) is the natural number following 57 and preceding 59.
Fifty-eight is the seventeenth discrete semiprime [1] and the ninth with 2 as the lowest non- unitary divisor; thus of the form , where is a higher prime.
58 is equal to the sum of the first seven consecutive prime numbers: [2]
This is a difference of 1 from the seventeenth prime number and seventh super-prime, 59. [3] [4] Furthermore, is semiprime (the second such number for after 2). [5]
Fifty-eight is an 11- gonal number, after 30 (and 11), [6] and it is a Smith number. [7] Also:
There is no solution to the equation , making fifty-eight a noncototient. [13] However, the totient summatory function over the first thirteen integers is 58. [14]
The regular icosahedron produces fifty-eight distinct stellations, the most of any other Platonic solid, which collectively produce sixty-two stellations. [15] [16]
With regard to Coxeter groups and uniform polytopes in higher dimensional spaces, there are:
There exist 58 total paracompact Coxeter groups of ranks four through ten, with realizations in dimensions three through nine. These solutions all contain infinite facets and vertex figures, in contrast from compact hyperbolic groups that contain finite elements; there are no other such groups with higher or lower ranks.
Belief in the existence of 58 original sins by several civilizations native to Central America or South America caused the number to symbolize misfortune. Aztec oracles supposedly stumbled across the number an unnaturally high number of times before disaster fell. One famous recording of this, though largely discredited as mere folktale, concerned the oracle of Moctezuma II, who allegedly counted 58 pieces of gold scattered before a sacrificial pit the day prior to the arrival of Hernán Cortés. [ citation needed]
58 is the number of usable cells on a Hexxagon game board.
| ||||
---|---|---|---|---|
Cardinal | fifty-eight | |||
Ordinal | 58th (fifty-eighth) | |||
Factorization | 2 × 29 | |||
Divisors | 1, 2, 29, 58 | |||
Greek numeral | ΝΗ´ | |||
Roman numeral | LVIII | |||
Binary | 1110102 | |||
Ternary | 20113 | |||
Senary | 1346 | |||
Octal | 728 | |||
Duodecimal | 4A12 | |||
Hexadecimal | 3A16 |
58 (fifty-eight) is the natural number following 57 and preceding 59.
Fifty-eight is the seventeenth discrete semiprime [1] and the ninth with 2 as the lowest non- unitary divisor; thus of the form , where is a higher prime.
58 is equal to the sum of the first seven consecutive prime numbers: [2]
This is a difference of 1 from the seventeenth prime number and seventh super-prime, 59. [3] [4] Furthermore, is semiprime (the second such number for after 2). [5]
Fifty-eight is an 11- gonal number, after 30 (and 11), [6] and it is a Smith number. [7] Also:
There is no solution to the equation , making fifty-eight a noncototient. [13] However, the totient summatory function over the first thirteen integers is 58. [14]
The regular icosahedron produces fifty-eight distinct stellations, the most of any other Platonic solid, which collectively produce sixty-two stellations. [15] [16]
With regard to Coxeter groups and uniform polytopes in higher dimensional spaces, there are:
There exist 58 total paracompact Coxeter groups of ranks four through ten, with realizations in dimensions three through nine. These solutions all contain infinite facets and vertex figures, in contrast from compact hyperbolic groups that contain finite elements; there are no other such groups with higher or lower ranks.
Belief in the existence of 58 original sins by several civilizations native to Central America or South America caused the number to symbolize misfortune. Aztec oracles supposedly stumbled across the number an unnaturally high number of times before disaster fell. One famous recording of this, though largely discredited as mere folktale, concerned the oracle of Moctezuma II, who allegedly counted 58 pieces of gold scattered before a sacrificial pit the day prior to the arrival of Hernán Cortés. [ citation needed]
58 is the number of usable cells on a Hexxagon game board.