Properties of the Number 32330

Thirty-Two Thousand Three Hundred Thirty

Basics

Value: 32329 → 32330 → 32331

Parity: even

Prime: No

Previous Prime: 32327

Next Prime: 32341

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 5 × 53 × 61

Divisors: 1, 2, 5, 10, 53, 61, 106, 122, 265, 305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111001001010

Octal: 77112

Duodecimal: 16862

Hexadecimal: 7e4a

Square: 1045228900

Square Root: 179.8054504179448

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(1)=2, a(2)=5, a(n)=2·a(n-1) + 5·a(n-2). A189734

Number of circular permutations of length n without increasing or decreasing 3-sequences. A165964

G.f.: (1 + x⁴ + x⁵ + x⁶ + x¹⁰ + x¹¹ + x¹² + x¹⁶)/∏_i=1..8 (1 - xⁱ). A256975

Numbers k such that k + A224787(k) is a square. A386640

Number of partitions into non-integral powers. A339

Number of permutations of 1..n with displacements restricted to {-4,-1,0,2,3}. A189582

Numbers k such that 4^k + 15 is prime. A253773

Expansion of ∏_k>=1 (1 - p(k)*x^k), where p(k) = number of partitions of k (A000041). A304785

a(n) = 2·n⁴ + 2·n³ + 3·n² + 2·n + 1. A58920

Number of binary strings of length n with equal numbers of 00100 and 10101 substrings. A164242