Properties of the Number 13371

Thirteen Thousand Three Hundred Seventy-One

Basics

Value: 13370 → 13371 → 13372

Parity: odd

Prime: No

Previous Prime: 13367

Next Prime: 13381

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 4457

Divisors: 1, 3, 4457, 13371

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010000111011

Octal: 32073

Duodecimal: 78A3

Hexadecimal: 343b

Square: 178783641

Square Root: 115.63304026099115

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 partitions of n with equal number of parts congruent to each of 1 and 3 (mod 4). A35544

Matula-Goebel numbers of semi-lone-child-avoiding rooted identity trees. A331963

Number of partitions of 2n with equal number of parts congruent to each of 1 and 3 (mod 4). A35594

Wiener index of a benzenoid consisting of a double-step zig-zag chain of n hexagons (n >= 2, s = 2123; see the Gutman et al. reference). A193395

Numbers k such that ∑_i=1..k i⁶ divides ∏_i=1..k i⁶. A166606

a(n) = ∑_k=1..n μ(k) * 2^{n - k}. A344432

Indices of records in A307730. A348449

Joint-rank array of numbers j·r^i-1, where r=1+sqrt(3), read by antidiagonals. A182832

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) - 1, where a(0) = 2, a(1) = 3, b(0) = 1, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A295965

Lucky numbers for which both the sum of the digits and the product of the digits is also a lucky number. A118559