Properties of the Number 13975

Thirteen Thousand Nine Hundred Seventy-Five

Basics

Value: 13974 → 13975 → 13976

Parity: odd

Prime: No

Previous Prime: 13967

Next Prime: 13997

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 ² × 13 × 43

Divisors: 1, 5, 13, 25, 43, 65, 215, 325, 559, 1075

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011010010111

Octal: 33227

Duodecimal: 8107

Hexadecimal: 3697

Square: 195300625

Square Root: 118.21590417536889

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

a(n) = n*(n+1)*(5·n + 4)/6. A162147

The 240-degree spoke (or ray) of a hexagonal spiral of Ulam. A244805

dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5). A26063

Define g(k) = min(n: n >= 0, 2ⁿ + k prime). Then a(n) = min(odd k: g(k) = n). A260350

Minimum diameter of an integral set of n points in the plane, no 3 on a line. A96872

The number of direct isometries that are derangements of the (n-1)-dimensional facets of an n-cube. A161936

Product of n and the sum of remainders of n mod k, for k = 1, 2, 3, ..., n. A256532

a(0)=0, a(1)=1, a(n)=min{3 a(k) + 2^n-k-1, k=0..(n-1)} for n>=2. A259823

Expansion of 1/((1-x)*(1-2·x²)*(1-3·x³)). A291986

G.f. satisfies A(x) = 1 + x·A(x)*(1 + x³*A(x)⁵). A365759