Properties of the Number 15532

Fifteen Thousand Five Hundred Thirty-Two

Basics

Value: 15531 → 15532 → 15533

Parity: even

Prime: No

Previous Prime: 15527

Next Prime: 15541

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 11 × 353

Divisors: 1, 2, 4, 11, 22, 44, 353, 706, 1412, 3883

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110010101100

Octal: 36254

Duodecimal: 8BA4

Hexadecimal: 3cac

Square: 241243024

Square Root: 124.62744481052317

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

Number of integer partitions of n of which every permutation has a consecutive monotone triple, i.e., a triple (..., x, y, z, ...) such that either x <= y <= z or x >= y >= z. A344654

Numbers n such that Bernoulli number B_n has denominator 690. A272186

a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3), t = A023532. A24314

List of codewords in binary lexicode with Hamming distance 6 written as decimal numbers. A75934

Ulam's spiral (SSW spoke). A143838

Expansion of q^-1/2 * k(q) * (1 - k(q)⁴) * (K(q) / (π/2))⁶ / 4 in powers of q where k(), k'(), K() are Jacobi elliptic functions. A225923

a(1) = 2; and for n > 1, a(n) = A341512(n) + A347096(n). A347097

Number of n X 2 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 2 or 3 1s. A295346

Expansion of e.g.f. exp(∑_k>=1 φ(k)³ * x^k/k), where φ is the Euler totient function A000010. A377508

Related to representation as sums of squares. A2292