Properties of the Number 63318

Sixty-Three Thousand Three Hundred Eighteen

Basics

Value: 63317 → 63318 → 63319

Parity: even

Prime: No

Previous Prime: 63317

Next Prime: 63331

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 61 × 173

Divisors: 1, 2, 3, 6, 61, 122, 173, 183, 346, 366

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011101010110

Octal: 173526

Duodecimal: 30786

Hexadecimal: f756

Square: 4009169124

Square Root: 251.63068175403413

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

Numbers that are the sum of ten fifth powers in four or more ways. A345636

Numbers that are the sum of ten fifth powers in exactly four ways. A346349

Number of conjugacy classes of the symmetric group S_n when conjugating only by even permutations. A242101

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 1, -1), (1, 0, -1), (1, 0, 0)}. A148303

G.f. satisfies: A(x) = 1 + x·A(x)⁴ / (A(x) - x·A'(x)). A245768

Dimension of the space of weight n cuspidal newforms for Gamma₁( 45 ). A63318