Properties of the Number 13416

Thirteen Thousand Four Hundred Sixteen

Basics

Value: 13415 → 13416 → 13417

Parity: even

Prime: No

Previous Prime: 13411

Next Prime: 13417

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 13 × 43

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 24, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 11010001101000

Octal: 32150

Duodecimal: 7920

Hexadecimal: 3468

Square: 179989056

Square Root: 115.82745788456207

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

T(n,k)=Number of nXk 0..2 arrays with exactly floor(nXk/2) elements equal to at least one horizontal or antidiagonal neighbor, with new values introduced in row major 0..2 order. A223104

Triangle, read by rows, where the g.f. of column k, C_k(x), is defined by the recursion: C_k(x) = ( 1 + ∑_n>=1 xⁿ*C_n-1+k(x) )^k+1. A127082

Column 3 of triangle A127082. A127086

G.f. A(x) satisfies: 1 = ∑_n=-oo..oo (-x)^n*(n+1/2) * A(x)^n*(n-1/2), with A(0) = 0. A354661

a(n) = dot_product(1,2,...,n)*(6,7,...,n,1,2,3,4,5). A26046

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+521)² = y². A129725

Twice 11-gonal numbers: a(n) = n*(9·n-7). A152995

a(n) = 1728·n - 408. A157266

Partial sums of A294629. A294630

E.g.f. A(x) satisfies A(x) = ∑_n>=0 ( A(x)ⁿ + log(A(x)) )ⁿ * xⁿ / n!. A386645