Properties of the Number 13318

Thirteen Thousand Three Hundred Eighteen

Basics

Value: 13317 → 13318 → 13319

Parity: even

Prime: No

Previous Prime: 13313

Next Prime: 13327

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 6659

Divisors: 1, 2, 6659, 13318

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010000000110

Octal: 32006

Duodecimal: 785A

Hexadecimal: 3406

Square: 177369124

Square Root: 115.4036394573412

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 subsets of {1..n} with all distinct lengths of maximal anti-runs (increasing by more than 1). A384177

a(n) = n³ + 2·n² + 4·n + 1. A270867

Indices of primes in the 7th-order Fibonacci number sequence, A060455. A253318

Eigenvector of triangle A055151 of Motzkin polynomial coefficients, where A055151(n,k) = n!/((n-2k)!*k!*(k+1)!) for 0<=k<=[n/2], n>=0. A119020

Difference between π(10ⁿ) and nearest integer to (4*((S(n))^n-1)) where π(10ⁿ) = number of primes <= 10ⁿ (A006880) and S(n) = ∑_i=0..2 (C(i)*(log(log(A*(B+n^8/3))))²ⁱ) (A225137). A225138

Number of partitions into non-integral powers. A345

Number of n X 4 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 4 array. A219498

Number of (n+2)X(n+2) 0..1 matrices with each 3X3 subblock idempotent. A224551

Number of ways to place 4 nonattacking queens on an n X n board. A61994

Number of tilings of a 4 X n rectangle using monominoes and trominoes of any shape. A270064