Properties of the Number 97287

Ninety-Seven Thousand Two Hundred Eighty-Seven

Basics

Value: 97286 → 97287 → 97288

Parity: odd

Prime: No

Previous Prime: 97283

Next Prime: 97301

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 32429

Divisors: 1, 3, 32429, 97287

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110000000111

Octal: 276007

Duodecimal: 48373

Hexadecimal: 17c07

Square: 9464760369

Square Root: 311.90864047025053

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

Triangle read by rows: T(n,k) is the number of permutations of {1,2,...,n} having k increasing cycles (0<=k<=n). A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1) < b(2) < b(3) < ... . A186754

First differences of A325056: distance in A076042 from n-th low point to the next. A324792

a(n) = ∑_j=0..n ∑_i=0..n T(j,i), T given by A026736. A26745

Rectangular array T by antidiagonals: T(n,k) = rank of n where (n,k) occurs in A097285, for distinct n,k and T(n,n)=0 for all n. A97287