Properties of the Number 13675

Thirteen Thousand Six Hundred Seventy-Five

Basics

Value: 13674 → 13675 → 13676

Parity: odd

Prime: No

Previous Prime: 13669

Next Prime: 13679

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 ² × 547

Divisors: 1, 5, 25, 547, 2735, 13675

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101101011

Octal: 32553

Duodecimal: 7AB7

Hexadecimal: 356b

Square: 187005625

Square Root: 116.940155635265

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 nondecreasing arrangements of n numbers x(i) in -(n+k-2)..(n+k-2) with the sum of sign(x(i))*x(i)² zero. A188002

T(n,k)=Number of nXk 0..4 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it, modulo 5. A239256

Convolution of Fibonacci numbers and A023533. A23613

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 206", based on the 5-celled von Neumann neighborhood. A279829

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 654", based on the 5-celled von Neumann neighborhood. A283588

a(n) = floor((5ⁿ+1)/(2·3ⁿ)). A238777

Take pairs (a, b), sorted on a, such that T(a)+T(b)=concatenation of a and b, where T(k) is the k-th triangular number A000217(k). Sequence gives values of a. A96031

a(n) = 3·a(n-1) - 4·a(n-2) + 6·a(n-3) - 4·a(n-4), with initial terms 1,2,4,7. A136408

G.f. A(x) satisfies: A(x) = (1 + x) * A(x²)*A(x³)*A(x⁵)* ... *A(x^prime(k))* ... A308272

Convolution of A007528 and A002476. A354543