Properties of the Number 63285

Sixty-Three Thousand Two Hundred Eighty-Five

Basics

Value: 63284 → 63285 → 63286

Parity: odd

Prime: No

Previous Prime: 63281

Next Prime: 63299

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 4219

Divisors: 1, 3, 5, 15, 4219, 12657, 21095, 63285

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011100110101

Octal: 173465

Duodecimal: 30759

Hexadecimal: f735

Square: 4004991225

Square Root: 251.5651009182315

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

T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, with no occupancy greater than 2. A221303

Sum of all repeated parts of all partitions of n. A163986

Number of nX3 arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, with no occupancy greater than 2. A221298

Number of nX4 arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, with no occupancy greater than 2. A221299

Dimension of the space of weight n cuspidal newforms for Gamma₁( 12 ). A63285