Properties of the Number 30537

Thirty Thousand Five Hundred Thirty-Seven

Basics

Value: 30536 → 30537 → 30538

Parity: odd

Prime: No

Previous Prime: 30529

Next Prime: 30539

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 13 × 29

Divisors: 1, 3, 9, 13, 27, 29, 39, 81, 87, 117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011101001001

Octal: 73511

Duodecimal: 15809

Hexadecimal: 7749

Square: 932508369

Square Root: 174.7483905505284

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

Riordan numbers: a(n) = (n-1)*(2·a(n-1) + 3·a(n-2))/(n+1). A5043

Expansion of (sqrt(1+3·x) + sqrt(1-x))/(2·sqrt(1-x)). A99323

Bisection of Motzkin sums (A005043). A99251

First column of A174295. A174297

G.f. A(x) satisfies: A(x) = 1 + x² * A(x/(1 - 2·x)) / (1 - 2·x). A351143

Number of all possible tetrahedra of any size and orientation, formed when intersecting the original regular tetrahedron by planes parallel to its sides and dividing its edges into n equal parts. A216173

a(n) = a(n-1) + 2·a(floor(n/2)) if n > 0, otherwise 1. A58039

a(n) = [xⁿ] (1 - 2·x - sqrt((1 - 3·x)/(1 + x)))/(2·x³). A342912

Row sums of the triangle in A199333. A199694

Number of Dyck paths of semilength n, having no ascents and no descents of length 1, and having no peaks at odd level. A167635