Properties of the Number 97516

Ninety-Seven Thousand Five Hundred Sixteen

Basics

Value: 97515 → 97516 → 97517

Parity: even

Prime: No

Previous Prime: 97511

Next Prime: 97523

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 24379

Divisors: 1, 2, 4, 24379, 48758, 97516

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110011101100

Octal: 276354

Duodecimal: 48524

Hexadecimal: 17cec

Square: 9509370256

Square Root: 312.27551937351734

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

Number of n X 2 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241301

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, 0), (0, -1, 1), (0, 1, 1), (1, 1, -1)}. A148895

a(n) counts the solid partitions of n that are symmetric under all of the operations mirroring (F), rotation (T) and 4-D rotation (L). A97516

a(n) = (10·n + 1)⁴. A17284