Properties of the Number 97216

Ninety-Seven Thousand Two Hundred Sixteen

Basics

Value: 97215 → 97216 → 97217

Parity: even

Prime: No

Previous Prime: 97213

Next Prime: 97231

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁶ × 7 ² × 31

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 31, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101111000000

Octal: 275700

Duodecimal: 48314

Hexadecimal: 17bc0

Square: 9450950656

Square Root: 311.7948043184812

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

Sum of divisors of the number of partitions of n. A139041

Gaps of 5 in sequence A038593 (upper terms). A38650

G.f. satisfies: A(x) = ∏_n>=1 (1 + xⁿ*A(x)^1/2)²/(1 - xⁿ*A(x)^1/2)². A192619

Number of n X 5 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically. A208376

Number of minimum total dominating sets in the n-necklace graph. A393521

Number of ways to place 6 nonattacking bishops on an n X n board. A176886

Numbers n such that A076078(n) > n, where A076078(n) equals the number of sets of distinct positive integers with a least common multiple of n. A97216