Properties of the Number 13517

Thirteen Thousand Five Hundred Seventeen

Basics

Value: 13516 → 13517 → 13518

Parity: odd

Prime: No

Previous Prime: 13513

Next Prime: 13523

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 × 1931

Divisors: 1, 7, 1931, 13517

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011001101

Octal: 32315

Duodecimal: 79A5

Hexadecimal: 34cd

Square: 182709289

Square Root: 116.26263372210352

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 parts in all partitions of n into distinct parts. A15723

Growth series for affine Coxeter group B₄. A267167

Number of planar n-hexes, or polyhexes (in the sense of A000228, so rotations and reflections count as the same shape) with at least one hole. A38144

a(n) = (1/2)*(n³ - 6·n² + 13·n - 6). A158498

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + b(n-2) - n, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294553

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 694", based on the 5-celled von Neumann neighborhood. A283646

Numerators of continued fraction convergents to sqrt(708). A42362

Numbers k such that k! - k# + 1 is prime, where k# is the primorial function. A81712

Numbers k such that (10^k - 1)/3 + 5·10^floor(k/2) is a palindromic wing prime (a.k.a. near-repdigit palindromic prime). A77792

Number of partitions of n without rotational symmetry (or 1-fold symmetry). A85436