Properties of the Number 57135

Fifty-Seven Thousand One Hundred Thirty-Five

Basics

Value: 57134 → 57135 → 57136

Parity: odd

Prime: No

Previous Prime: 57131

Next Prime: 57139

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 13 × 293

Divisors: 1, 3, 5, 13, 15, 39, 65, 195, 293, 879

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111100101111

Octal: 157457

Duodecimal: 29093

Hexadecimal: df2f

Square: 3264408225

Square Root: 239.02928690852926

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

G.f.: A(x) = (1 + 21·x + 3·x² - x³)/(1-x)⁵. A183066

a(n) is the position of cube of the n-th prime among the powers of primes (A000961). A24625

Integers arising in A133677. A133645

a(1)=1, a(n) = a(n-1) + n³ if n odd, a(n) = a(n-1) + n¹ if n is even. A140153

Positions of cubes among the powers of primes (A000961). A24627

Second pentagonal numbers that are interprime. A205881

Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 101-111-101 pattern in any orientation. A146435

Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 01000-11111-00010 pattern in any orientation. A147015

Palindromes whose square is a palindrome; also palindromes whose sum of squares of digits is less than 10. A57135

Numbers that are palindromes in base-60 representation. A262065