Properties of the Number 15616

Fifteen Thousand Six Hundred Sixteen

Basics

Value: 15615 → 15616 → 15617

Parity: even

Prime: No

Previous Prime: 15607

Next Prime: 15619

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁸ × 61

Divisors: 1, 2, 4, 8, 16, 32, 61, 64, 122, 128

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110100000000

Octal: 36400

Duodecimal: 9054

Hexadecimal: 3d00

Square: 243859456

Square Root: 124.96399481450646

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) = |1³ - 2³ + 3³ - 4³ + ... + (-1)ⁿ⁺¹*n³|. A11934

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors. A205659

Alternating sum of cubes, i.e., ∑_k=0..n k^p*q^k for p=3, q=-1. A232599

Products of the 8th power of a prime and a distinct prime (p⁸*q). A179668

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the number of clockwise edge increases in every 2X2 subblock the same. A205370

Number of divisors of 240ⁿ. A103532

Corresponds to m = 8 in a family of 4th-order linear recurrence sequences given by a(m,n) = m⁴*a(n-4) + (2·m)²*a(n-3) - 4·a(m-1), a(m,0) = -1, a(m,1) = 4, a(m,2) = -13 + 6*(m-1) + 3*(m-1)², a(m,3) = (-8+m²)². A113254

T(n,k) = number of (n+1) X (k+1) 0..3 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and the same number of counterclockwise edge increases as its vertical neighbors. A206188

Values of n such that there are exactly 7 solutions to x² - y² = n with x > y >= 0. A257414

Numbers n which when converted to base 3, reversed and converted back to base 10 yield a number m such that n mod m = 0. Cases which are trivial or result in digit loss are excluded. A91077