Properties of the Number 13957

Thirteen Thousand Nine Hundred Fifty-Seven

Basics

Value: 13956 → 13957 → 13958

Parity: odd

Prime: No

Previous Prime: 13933

Next Prime: 13963

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 17 × 821

Divisors: 1, 17, 821, 13957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011010000101

Octal: 33205

Duodecimal: 80B1

Hexadecimal: 3685

Square: 194797849

Square Root: 118.1397477566293

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 in SPM(n): these are the partitions obtained from (n) by iteration of the following transformation: p -> p' if p' is a partition (i.e., decreasing) and p' is obtained from p by removing a unit from the i-th component of p and adding one to the (i+1)-th component, for any i. A56219

Rounded total surface area of a regular dodecahedron with edge length n. A71397

Index where prime(n) appears as a term in A379442. A379558

Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 17. A146340

Semiprimes which are the sum of three distinct positive cubes in two or more distinct ways. A180089

Expansion of ∏_{k >= 1} 1/(1-x^k)^c(k), where c(1), c(2), ... = 2 3 2 3 2 3 2 3 .... A29863

Number of sets of exactly eight nonempty words with a total of n letters over n-ary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A293970

Expansion of e.g.f. cosh(log(1+x))/cosh(x). A9131

Numbers k such that the continued fraction for sqrt(k) has period 57. A20396

a(n) = 7ⁿ - 5ⁿ + 3ⁿ + 2ⁿ. A135164