Properties of the Number 30758

Thirty Thousand Seven Hundred Fifty-Eight

Basics

Value: 30757 → 30758 → 30759

Parity: even

Prime: No

Previous Prime: 30757

Next Prime: 30763

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 13 ³

Divisors: 1, 2, 7, 13, 14, 26, 91, 169, 182, 338

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100000100110

Octal: 74046

Duodecimal: 15972

Hexadecimal: 7826

Square: 946054564

Square Root: 175.37958832201653

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

Expansion of g.f.: (1+x)/(1-13·x). A170733

Integers that are Rhonda numbers to base 15. A100974

Coefficients in q-expansion of (6·E₂²*E₄ - 8·E₂*E₆ + 3·E₄² - E₂⁴)/6912, where E₂, E₄, E₆ are the Eisenstein series shown in A006352, A004009, A013973, respectively. A282211

Preperiod (or threshold) of orbit of Watanabe's 3-shift tag system {00/1011} applied to the word (100)ⁿ. A292090

Sum of two powers of 13. A72390

Number of reduced words of length n in Coxeter group on 14 generators S_i with relations (S_i)² = (S_i S_j)¹⁶ = I. A167922

Chromatic polynomial of the star graph on 4 vertices (claw graph) and the path graph on 4 vertices. A179824

Sums of distinct powers of 13. A33049

Consider primitive pairs of integers (b, c) with b > 0 such that x⁵ + b·x + c = 0 is irreducible and solvable by radicals: sequence gives values of b. A371553

a(n) = ((n-th prime)⁵-(n-th prime)³)/12. A138437