Properties of the Number 13656

Thirteen Thousand Six Hundred Fifty-Six

Basics

Value: 13655 → 13656 → 13657

Parity: even

Prime: No

Previous Prime: 13649

Next Prime: 13669

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 569

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 569, 1138

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010101011000

Octal: 32530

Duodecimal: 7AA0

Hexadecimal: 3558

Square: 186486336

Square Root: 116.85888926393234

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 solutions to c(1)*prime(3) + ... + c(2n-1)*prime(2n+1) = -1, where c(i) = +-1 for i > 1, c(1) = 1. A261063

Triangle read by rows: T(n,k) = number of permutations p of [n] such that max(|p(i)-i|)=k (n>=1, 0<=k<=n-1). A130152

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 9. A60028

Numbers k such that iterating φ(σ(k)-φ(k)) starting from k leads to the fixed point 8064. A77096

a(n) = 8/3 - 5*(-2)ⁿ/3. A83581

Strings of 5 digits from 1...9, such that no formula using the single digits in the given order exists that evaluates to 0. A288355

Numbers k such that both k and k² are sums of a twin prime pair. A213784

Triangle T(n,k) in which n-th row lists in increasing order all positive integers with a representation as totally balanced 2n digit binary string without totally balanced proper prefixes such that all consecutive totally balanced substrings are in nondecreasing order; n>=1, 1<=k<=A000081(n). A216648

Series for second perpendicular moment of square lattice (eventually changes sign). A6730

Numbers k such that A003415(k) == A276085(k) (mod 5⁵), where A003415 is the arithmetic derivative and A276085 is the primorial base log-function. A391865