Properties of the Number 13627

Thirteen Thousand Six Hundred Twenty-Seven

Basics

Value: 13626 → 13627 → 13628

Parity: odd

Prime: Yes

Previous Prime: 13619

Next Prime: 13633

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 13627

Divisors: 1, 13627

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010100111011

Octal: 32473

Duodecimal: 7A77

Hexadecimal: 353b

Square: 185695129

Square Root: 116.73474204366067

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

a(n) = ∑_d∣n φ(d³). A68963

Prime divisors of solutions to 10ⁿ == 1 (mod n). A66364

Primes p such that p1 = ceiling(p/2) + p is prime and p2 = floor(p1/2) + p1 is prime. A158714

Numbers k such that k + prime(k) gives a triangular number. A115882

Discriminants of imaginary quadratic fields with class number 17 (negated). A46014

a(n), for n > 1, equals the least prime p such that p - a(n-1) is a cube, a(1)=2. A76201

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 222", based on the 5-celled von Neumann neighborhood. A279987

a(n) = ∑_k=1..n (n/gcd(k,n))^gcd(k,n - 1). A342421

Number of simple connected graphs on n unlabeled nodes with each node a member of exactly one cycle. A380632

Primes that remain prime through 3 iterations of function f(x) = 4x + 9. A23282