Properties of the Number 58728

Fifty-Eight Thousand Seven Hundred Twenty-Eight

Basics

Value: 58727 → 58728 → 58729

Parity: even

Prime: No

Previous Prime: 58727

Next Prime: 58733

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 2447

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 2447, 4894

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010101101000

Octal: 162550

Duodecimal: 29BA0

Hexadecimal: e568

Square: 3448977984

Square Root: 242.33860608660768

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

Square array A(n,k) read by antidiagonals: row n gives coordination sequence for lattice C_n. A103884

Coordination sequence for 6-dimensional cubic lattice. A8414

Coordination sequence for C₆ lattice. A19562

Number of points of L1 norm 10 in cubic lattice Zⁿ. A35604

a(n) = 1728·n - 24. A157287

Indices of primes in sequence defined by A(0) = 19, A(n) = 10·A(n-1) - 31 for n > 0. A102021

McKay-Thompson series of class 60D for the Monster group. A58728

Expansion of ∑_n>=0 ( (1+x)ⁿ/(1-x)ⁿ + (1-x)ⁿ/(1+x)ⁿ )ⁿ / 4ⁿ, listing the coefficients of only the even powers of x. A369089