Properties of the Number 15696

Fifteen Thousand Six Hundred Ninety-Six

Basics

Value: 15695 → 15696 → 15697

Parity: even

Prime: No

Previous Prime: 15683

Next Prime: 15727

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 109

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110101010000

Octal: 36520

Duodecimal: 9100

Hexadecimal: 3d50

Square: 246364416

Square Root: 125.2836781069266

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 3-colored generalized Frobenius partitions of n. A53762

a(n) = 12·a(n-1) - 12·a(n-2), a(0)=0, a(1)=1. A190873

Let f(n) = exp(π*sqrt(n)); sequence gives numbers n such that f(n) - floor(f(n)) < 1/10³. A127028

First row of A262057. A265316

a(n) = ∑_i=0..n digsum₈(i)³, where digsum₈(i) = A053829(i). A231682

Square array read by antidiagonals: T(n,d) is the number of fixed d-dimensional polysticks of size n. A385581

Expansion of ((η(q²) * η(q¹⁴)) / (η(q) * η(q⁷)))³ in powers of q. A120006

Expansion of η(q⁴) * η(q²⁸) / (η(q) * η(q⁷)) in powers of q. A123648

Triangle of coefficients of polynomials v(n,x) jointly generated with A210227; see the Formula section. A210228

Floor of sums of the squares of the non-integer cube roots of n, as partitioned by the integer roots: floor(∑_{j=n³+1..(n+1)³-1} j^2/3). A248621