Properties of the Number 37318

Thirty-Seven Thousand Three Hundred Eighteen

Basics

Value: 37317 → 37318 → 37319

Parity: even

Prime: No

Previous Prime: 37313

Next Prime: 37321

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 47 × 397

Divisors: 1, 2, 47, 94, 397, 794, 18659, 37318

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000111000110

Octal: 110706

Duodecimal: 1971A

Hexadecimal: 91c6

Square: 1392633124

Square Root: 193.17867377120075

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 which number of parts is not 2. A58984

Number of integer partitions of n into three or more parts or into two equal parts. A349801

Index position of {2}ⁿ within the list of partitions of 2n in canonical ordering. A332706

a(n) is the number of partitions of n with Durfee square of size <= 5. A330643

Number of Weyl group elements, not containing s₁ or s₂, which contribute nonzero terms to Kostant's weight multiplicity formula when computing the multiplicity of the zero-weight in the adjoint representation for the Lie algebra of type D and rank n. A234576

G.f. A(x) satisfies: coefficient of xⁿ in A(x)^2·n equals A000172(n) = ∑_k=0..n C(n,k)³, the n-th Franel number. A242903

Numbers whose base-4 and base-7 expansions have the same digit sum. A37318