Properties of the Number 30759

Thirty Thousand Seven Hundred Fifty-Nine

Basics

Value: 30758 → 30759 → 30760

Parity: odd

Prime: No

Previous Prime: 30757

Next Prime: 30763

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 10253

Divisors: 1, 3, 10253, 30759

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100000100111

Octal: 74047

Duodecimal: 15973

Hexadecimal: 7827

Square: 946116081

Square Root: 175.38243925775464

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 subsets of {1..n} containing some element equal to the sum of two or more distinct other elements. A variation of sum-full subsets without re-used elements. A364534

Sums of distinct powers of 13. A33049

a(n) = 4·n³ - 3·n² - 2·n - 1. A268644

a(n) = (A084218(n) - 1)/12. A373040

a(n) is the least positive integer k such that k! has exactly n infinitary divisors that are factorials, or -1 if no such number exists. A375638

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (-1, 1, 0), (0, 1, -1), (1, 0, 1)}. A149322

Expansion of g.f. A(x) satisfying x = A( A(x) - 2·A(x)²*A'(x) ). A375456

Duplicate of A030709. A30759

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