Properties of the Number 61688

Sixty-One Thousand Six Hundred Eighty-Eight

Basics

Value: 61687 → 61688 → 61689

Parity: even

Prime: No

Previous Prime: 61687

Next Prime: 61703

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 11 × 701

Divisors: 1, 2, 4, 8, 11, 22, 44, 88, 701, 1402

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111000011111000

Octal: 170370

Duodecimal: 2B848

Hexadecimal: f0f8

Square: 3805409344

Square Root: 248.37069070242566

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) = (b(p)-2)/p where b(k) denotes Bell numbers and p = prime(n). A79609

Number of n-bead necklace structures using an infinite alphabet that are not self-equivalent under a nonzero rotation. A327696

a(n) = floor( n*(n-1)*(n-2)*(n-3)/32 ). A11942

Numbers k such that Bernoulli number B_k has denominator 61410. A295591

a(n) = floor((1/n)*(S(n,1) + S(n,2) + ... + S(n,n))), where S(i,j) are Stirling numbers of second kind. A24426

a(n) = (1/5ⁿ) * ∑_k=0..n² ( (binomial(n², k) * 2^n²-k * 3^k) (mod 5ⁿ) ). A376535

Generalized Bell numbers: column 7 of A275043. A61688

Primes p such that p² divides Bell(p) - 2. A283300