# 58 (number)

 ← 57 58 59 →
Cardinalfifty-eight
Ordinal58th
(fifty-eighth)
Factorization2 × 29
Divisors1, 2, 29, 58
Greek numeralΝΗ´
Roman numeralLVIII
Binary1110102
Ternary20113
Octal728
Duodecimal4A12

58 (fifty-eight) is the natural number following 57 and preceding 59.

## In mathematics

Fifty-eight is the sum of the first seven prime numbers, an 11-gonal number,[1] and a Smith number.[2] Given 58, the Mertens function returns 0.[3]

58 is the smallest integer whose square root has a continued fraction with period 7.[4]

There is no solution to the equation xφ(x) = 58, making 58 a noncototient.[5] However, the sum of the totient function for the first thirteen integers is 58.

## In sports

In the NBA, the most points ever scored in a fourth quarter was 58 by the Buffalo Braves (at Boston Celtics), Oct. 20, 1972. The most points in a game by a rookie player: Wilt Chamberlain, 58: Philadelphia vs. Detroit, Jan. 25, 1960, and Philadelphia vs. New York Knicks, Feb. 21, 1960.

In MotoGP, 58 was the number of Marco Simoncelli who died in an accident at the Malaysian Round of the 2011 MotoGP season. MotoGP's governing body, the FIM, are considering to retire number 58 from use in MotoGP as they did before with the numbers 74 and 48 of Daijiro Kato and Shoya Tomizawa, respectively. The retirement, from all motorcycle racing classes, eventually occurred in 2016, joining Kato's 74, the 34 of inaugural MotoGP champion Kevin Schwantz and the 65 of Loris Capirossi.

On the PGA Tour, 58 is the lowest score in an 18-hole round, achieved by Jim Furyk in the final round of the 2016 Travelers Championship at TPC River Highlands.

In Formula One, 58 is the number of laps of the Australian Grand Prix since 1996, when the Grand Prix held at Albert Park.

In cricket, both batsmen must cross the 58 feet (18 m) between their grounds to score one run.[6]

## In mythology

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]

## References

1. ^ "Sloane's A051682 : 11-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
2. ^ "Sloane's A006753 : Smith numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
3. ^ "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
4. ^ "Sloane's A013646: Least m such that continued fraction for sqrt(m) has period n". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-03-18.
5. ^ "Sloane's A005278 : Noncototients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
6. ^ Wister, Jones. A "Bawl" for American Cricket.