Properties of the Number 30752

Thirty Thousand Seven Hundred Fifty-Two

Basics

Value: 30751 → 30752 → 30753

Parity: even

Prime: No

Previous Prime: 30727

Next Prime: 30757

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 31 ²

Divisors: 1, 2, 4, 8, 16, 31, 32, 62, 124, 248

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111100000100000

Octal: 74040

Duodecimal: 15968

Hexadecimal: 7820

Square: 945685504

Square Root: 175.36248173426378

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) = n²*(n+1). A11379

Expansion of g.f.: (1+x)/(1-31·x). A170751

Product of the 5th power of a prime and different distinct prime of the 2nd power (p⁵*q²). A179646

Coefficients in q-expansion of (3·E₂*E₄ - 2·E₆ - E₂³)/1728, where E₂, E₄, E₆ are the Eisenstein series shown in A006352, A004009, A013973, respectively. A282097

Primitive coreful perfect numbers: powerful numbers k such that csigma(k) = 2·k, where csigma(k) is the sum of the coreful divisors of k (A057723). A307959

Numbers k which have a factorization k = f1·f2*...*fr where the digits of {k, f1, f2, ..., fr} together give 0,1,...,9 exactly once. A370970

Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)² = (S_i S_j)¹⁶ = I. A167947

a(n) = 32·n². A244082

a(n) = n³ * ∏_{p∣n, p prime} (1 + 1/p). A33196

Dedekind ψ function applied to the cubefull exponentially odd numbers (A335988). A371415