Properties of the Number 58968

Fifty-Eight Thousand Nine Hundred Sixty-Eight

Basics

Value: 58967 → 58968 → 58969

Parity: even

Prime: No

Previous Prime: 58967

Next Prime: 58979

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ⁴ × 7 × 13

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110011001011000

Octal: 163130

Duodecimal: 2A160

Hexadecimal: e658

Square: 3477225024

Square Root: 242.83327613817676

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

a(n) = (3ⁿ/n!)*∏_k=0..n-1 (3·k + 1). 3-central binomial coefficients. A4987

Numbers n such that sum of digits of n equals the sum of digits of n³. A70276

Numbers that are the sum of four third powers in nine or more ways. A345146

Square array read by antidiagonals downwards: super Patalan numbers of order 3. A248324

Numbers that are the sum of four third powers in ten or more ways. A345155

Numbers that are the sum of four third powers in exactly ten ways. A345156

Coefficients T(n,k) of x^4·n+1*r^4·k/(4·n+1)! in power series S(x,r) = Integral C(x,r)³ * D(x,r)³ dx such that C(x,r)⁴ - S(x,r)⁴ = 1 and D(x,r)⁴ - r⁴*S(x,r)⁴ = 1, as a symmetric triangle read by rows. A357800

Numbers k such that the sums of the digits of k, k² and k³ coincide. A111434

Square array T(n,k), n>=0, k>=0, read by antidiagonals downwards, where column k is the expansion of 1/(1 - 9·x*(1 - x)^k)^1/3. A361840

Primitive numbers n such that the sums of the digits of n, n² and n³ coincide (cf. A111434). A114135