Properties of the Number 63329

Sixty-Three Thousand Three Hundred Twenty-Nine

Basics

Value: 63328 → 63329 → 63330

Parity: odd

Prime: No

Previous Prime: 63317

Next Prime: 63331

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 83 × 109

Divisors: 1, 7, 83, 109, 581, 763, 9047, 63329

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011101100001

Octal: 173541

Duodecimal: 30795

Hexadecimal: f761

Square: 4010562241

Square Root: 251.65253823476527

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) = T(n,n) + T(n,n+1) + ... + T(n,2n), T given by A027960. A27973

Number of partitions p of n including ceiling(mean(p)) as a part. A241336

a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero dodecahedral numbers in exactly n ways, or -1 if no such integer exists. A360216

a(n) = ∑_{k=floor((n+2)/2)..n} T(n, k), T given by A026998. A27009

Numbers k such that k!4 + 2⁸ is prime, where k!4 = k!!!! is the quadruple factorial number (A007662). A291349

Dimension of the space of weight n cuspidal newforms for Gamma₁( 56 ). A63329