Properties of the Number 63309

Sixty-Three Thousand Three Hundred Nine

Basics

Value: 63308 → 63309 → 63310

Parity: odd

Prime: No

Previous Prime: 63299

Next Prime: 63311

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 47 × 449

Divisors: 1, 3, 47, 141, 449, 1347, 21103, 63309

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111011101001101

Octal: 173515

Duodecimal: 30779

Hexadecimal: f74d

Square: 4008029481

Square Root: 251.61279776672728

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)=Hilltop maps: number of nXk binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, vertical or antidiagonal neighbor in a random 0..2 nXk array. A218233

Hilltop maps: number of nX4 binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, vertical or antidiagonal neighbor in a random 0..2 nX4 array. A218229

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), (1, 0, -1), (1, 0, 1), (1, 1, -1)}. A149405

Hilltop maps: number of n X n binary arrays indicating the locations of corresponding elements not exceeded by any horizontal, vertical or antidiagonal neighbor in a random 0..2 n X n array. A218226

Dimension of the space of weight n cuspidal newforms for Gamma₁( 36 ). A63309