Properties of the Number 15344

Fifteen Thousand Three Hundred Forty-Four

Basics

Value: 15343 → 15344 → 15345

Parity: even

Prime: No

Previous Prime: 15331

Next Prime: 15349

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 7 × 137

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101111110000

Octal: 35760

Duodecimal: 8A68

Hexadecimal: 3bf0

Square: 235438336

Square Root: 123.87090053761618

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

Triangle T(n,k) of the number of strongly connected digraphs on n labeled nodes and with k arcs, k=0..n*(n-1). A57273

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x+289)² = y². A207059

The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n. 0 < r <= n. Sequence contains the leading diagonal. A110427

Expansion of q * (ψ(q⁵) / ψ(q))² in powers of q where ψ() is a Ramanujan θ function. A138519

Expansion of q * (ψ(-q⁵) / ψ(-q))² in powers of q where ψ() is a Ramanujan θ function. A210458

Number of ways to write n as an ordered sum of eight powers of 2. A342251

Expansion of 1 - q * (ψ(q⁵) / ψ(q))² in powers of q where ψ() is a Ramanujan θ function. A138520

A symmetrical triangle sequence: T(n, k) = q^k + q^n-k - qⁿ, with q=4. A176227

Sum of numbers in the n-th antidiagonal of the reciprocity array of 3. A259583

a(n) = 512·n - 16. A157447