Properties of the Number 13568

Thirteen Thousand Five Hundred Sixty-Eight

Basics

Value: 13567 → 13568 → 13569

Parity: even

Prime: No

Previous Prime: 13567

Next Prime: 13577

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁸ × 53

Divisors: 1, 2, 4, 8, 16, 32, 53, 64, 106, 128

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010100000000

Octal: 32400

Duodecimal: 7A28

Hexadecimal: 3500

Square: 184090624

Square Root: 116.48175822848829

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

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

Numbers k such that (number of prime factors of k counted with multiplicity) less (number of distinct prime factors of k) = 7. A195091

Irregular triangle read by rows: row n consists of the coefficients of the expansion of the polynomial (2·x + 2)ⁿ + (x² - 1)*(x + 2)ⁿ. A300184

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

Consider all Pythagorean triples (X,X+7,Z); sequence gives X values. A76296

E.g.f. satisfies A(x) = exp(x + x / A(x)). A362693

a(n) = ∑_k=0..n k⁴ * (-1)^k * 3^n-k * binomial(n,k). A383151

Number of 3 X n binary matrices avoiding simultaneously the right angled numbered polyomino patterns (ranpp) (10;0) and (01;1). A100312

Triangle P, read by rows, that satisfies [P²](n,k) = P(n+1,k+1) for n>=k>=0, also [P^2·m](n,k) = [P^m](n+1,k+1) for all m, where [P^m](n,k) denotes the element at row n, column k, of the matrix power m of P, with P(k,k)=1 and P(k+2,2)=P(k+2,0) for k>=0. A111975

a(n) = ((3+2·sqrt(2))*(4+sqrt(2))ⁿ + (3-2·sqrt(2))*(4-sqrt(2))ⁿ)/2. A163604