Properties of the Number 61696

Sixty-One Thousand Six Hundred Ninety-Six

Basics

Value: 61695 → 61696 → 61697

Parity: even

Prime: No

Previous Prime: 61687

Next Prime: 61703

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁸ × 241

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 241, 256

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000100000000

Octal: 170400

Duodecimal: 2B854

Hexadecimal: f100

Square: 3806396416

Square Root: 248.3867951401604

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

Expansion of the elliptic function sqrt(k(q))/q^1/4 in powers of q, where sqrt(k(q)) = theta₂(q)/theta₃(q). A127392

Unsigned matrix inverse of triangle A214398, as a triangle read by rows n >= 1. A215241

G.f.: 1 = ∑_n>=0 a(n)*xⁿ/(1+x)⁽ⁿ⁺²²). A215242

Decimal representation of the diagonal from the origin to the corner of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 374", based on the 5-celled von Neumann neighborhood. A287909

Write down the numbers from 3 to infinity. Take next number, M say, that has not been crossed off. Counting through the numbers that have not yet been crossed off after that M, cross off every 5th term. Repeat, always crossing off every 5th term of those that remain. The numbers that are left form the sequence. A100586

Expansion of φ(x) / φ(x²) * f(-x, -x⁷) / f(-x³, -x⁵) in powers of·where φ(), f() are Ramanujan θ functions. A230534

a(n) = coefficient of xⁿ in the power series A(x) such that: 1 = ∑_n=-oo..+oo n*(n+1)*(n+2)/3! * xⁿ * (1 - xⁿ⁺²)ⁿ * A(x)ⁿ⁺². A357795

Glaisher's function J(n) (18 squares version). A2613

McKay-Thompson series of class 32B for the Monster group. A58630

Expansion of (φ(x) / φ(x²)) * (f(-x³, -x⁵) / f(-x¹, -x⁷)) in powers of·where φ(), f() are Ramanujan θ functions. A245434