Properties of the Number 13358

Thirteen Thousand Three Hundred Fifty-Eight

Basics

Value: 13357 → 13358 → 13359

Parity: even

Prime: No

Previous Prime: 13339

Next Prime: 13367

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 6679

Divisors: 1, 2, 6679, 13358

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11010000101110

Octal: 32056

Duodecimal: 7892

Hexadecimal: 342e

Square: 178436164

Square Root: 115.57681428383462

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 permutations of n elements not containing the consecutive pattern 123. A49774

Number A(n,k) of permutations of [n] avoiding the consecutive step pattern given by the binary expansion of k, where 1=up and 0=down; square array A(n,k), n>=0, k>=0, read by antidiagonals. A242784

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k doubledescents (0 <= k <= n-2). We say that i is a doubledescent (also called a double fall) of a permutation p if p(i) > p(i+1) > p(i+2). A162975

Centered 19-gonal numbers. A69132

a(n) is the number of distinct solution sets to the quadratic equations u·x² + v·x + w = 0 with integer coefficients u, v, w, abs(u) + abs(v) + abs(w) <= n having a nonnegative discriminant. A379597

Numbers k such that k⁶ == 1 (mod 7⁴). A56092

Least m such that if r and s in {1/1, 1/3, 1/6,..., 1/C(n+1,2)} satisfy r < s, then r < k/m < s for some integer k. A24826

Main diagonal of table of length of English names of numbers. A129774

a(n) = 361·n + 1. A158310

Solution of the complementary equation a(n) = 2·a(n-1) - a(n-2) + b(n-1) + n, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294872