Properties of the Number 13357

Thirteen Thousand Three Hundred Fifty-Seven

Basics

Value: 13356 → 13357 → 13358

Parity: odd

Prime: No

Previous Prime: 13339

Next Prime: 13367

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 19 ² × 37

Divisors: 1, 19, 37, 361, 703, 13357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010000101101

Octal: 32055

Duodecimal: 7891

Hexadecimal: 342d

Square: 178409449

Square Root: 115.57248807566617

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

Triangle read by rows: T(n,k) (n>=1; 1<=k<=n) is the number of permutations of [n] in which the longest increasing run has length k. A8304

Number of domino tilings of a 3-pillow of order n. A112833

a(n) = (2·n - 1)*n². A15237

Numbers k such that 2·k! + 1 is prime. A51915

22-gonal numbers: a(n) = n*(10·n-9). A51874

Number of subsets of {1..n} with all different first differences of elements. A364465

Row sums of the triangle in A199332. A199771

Numbers n such that n is not the power of a prime and such that for every prime divisor p of n, p-1 divides n-1. A87442

Expansion of ∏_k>=1 1/(1-x^k+8)^k. A263364

Numbers m > 1 that have a strict s-decomposition. A324460