Properties of the Number 30688

Thirty Thousand Six Hundred Eighty-Eight

Basics

Value: 30687 → 30688 → 30689

Parity: even

Prime: No

Previous Prime: 30677

Next Prime: 30689

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 7 × 137

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111011111100000

Octal: 73740

Duodecimal: 15914

Hexadecimal: 77e0

Square: 941753344

Square Root: 175.17990752366552

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 integer partitions of n whose negated first differences (assuming the last part is zero) are not unimodal. A332744

O.g.f. A(x) satisfies: [xⁿ] exp(-n·A(x)) / (1 - n·x) = 0, for n > 0. A319938

Expansion of e.g.f.: (log(1-x))²*x². A52754

Expansion of (φ(-q⁵) / φ(-q))² in powers of q where φ() is a Ramanujan θ function. A138517

Positions of zeros in A163897. A165480

Numbers k for which rank of the elliptic curve y²=x³+k·x is 4. A309031

a(n) = 7 + floor((2 + ∑_j=1..n-1 a(j))/3). A120153

E.g.f.: ∏_n>=1 1/(1 - xⁿ/n!)^2ⁿ. A199163

Multiplicity of highest weight (or singular) vectors associated with character chi₁₇₃ of Monster module. A34561

Number of partitions of n into parts not of the form 19k, 19k+6 or 19k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 8 are greater than 1. A35975