Properties of the Number 92497

Ninety-Two Thousand Four Hundred Ninety-Seven

Basics

Value: 92496 → 92497 → 92498

Parity: odd

Prime: No

Previous Prime: 92489

Next Prime: 92503

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 17 × 5441

Divisors: 1, 17, 5441, 92497

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110100101010001

Octal: 264521

Duodecimal: 45641

Hexadecimal: 16951

Square: 8555695009

Square Root: 304.13319450530224

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 length n+6 0..k arrays with every seven consecutive terms having the maximum of some three terms equal to the minimum of the remaining four terms. A250373

a(0)=1, a(1)=1, a(n) = 17·a(n/2) for n=2,4,6,..., a(n) = 16·a((n-1)/2) + a((n+1)/2) for n=3,5,7,.... A116523

Number of length n+6 0..2 arrays with every seven consecutive terms having the maximum of some three terms equal to the minimum of the remaining four terms. A250367

Number of length 6+6 0..n arrays with every seven consecutive terms having the maximum of some three terms equal to the minimum of the remaining four terms. A250379

Molien series for 16-dimensional group of structure Z₂⁴.S₃ and order 96, corresponding to complete weight enumerators of Hermitian self-dual GF(4)-linear codes over GF(16) containing the all-ones vector. A92497