Properties of the Number 15566

Fifteen Thousand Five Hundred Sixty-Six

Basics

Value: 15565 → 15566 → 15567

Parity: even

Prime: No

Previous Prime: 15559

Next Prime: 15569

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 43 × 181

Divisors: 1, 2, 43, 86, 181, 362, 7783, 15566

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110011001110

Octal: 36316

Duodecimal: 9012

Hexadecimal: 3cce

Square: 242300356

Square Root: 124.76377679438852

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

Table in which the g.f. of row n, R(n,x), satisfies ∑_k=-oo..+oo (-1)^k * (x^k + n·R(n,x))^k = 1 + (n+2)*∑_k>=1 (-1)^k * x^k², for n >= 1, as read by antidiagonals. A370020

Lower triangular matrix T, read by rows, such that row (n) is formed from the sums of adjacent terms in row (n-1) of the matrix square T², with T(0,0)=1. A97710

Expansion of g.f. A(x) satisfying ∑_n=-oo..+oo (-1)ⁿ * (xⁿ + 4·A(x))ⁿ = 1 + 6*∑_n>=1 (-1)ⁿ * x^n². A370024

a(0) = 0, a(n+1) = a(n) + next prime larger than a(n). A63807

Triangle read by rows: T(n,k) = number of edge-rooted unlabeled graphs having n nodes and k edges, n > 0, 0 < k <= n*(n-1)/2. A126123

Numbers n such that σ(n) = φ(n) + φ(n-1) + φ(n-2). A67202

Expansion of x/(1 - 7·x - 9·x²). A15566

Number of (n+1)X3 0..2 arrays with the number of rightwards and downwards edge increases in each 2X2 subblock differing from the number in each of its horizontal and vertical neighbors. A205240

Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^t+u+v) having four or six distinct values for every i,j,k<=n. A211728

Number of (n+1) X (2+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235180