Properties of the Number 97191

Ninety-Seven Thousand One Hundred Ninety-One

Basics

Value: 97190 → 97191 → 97192

Parity: odd

Prime: No

Previous Prime: 97187

Next Prime: 97213

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 10799

Divisors: 1, 3, 9, 10799, 32397, 97191

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

7925 Try Today's Challenge

Representations

Binary: 10111101110100111

Octal: 275647

Duodecimal: 482B3

Hexadecimal: 17ba7

Square: 9446090481

Square Root: 311.754711271538

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 (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252321

Starting positions of strings of four 2's in the decimal expansion of π. A83607

Number of compositions of n such that the smallest part has multiplicity eight. A241868

Indices of primes in A214831. A244930

Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252317

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252318

G.f. A(x) has the property that the first (n+1) terms of A(x)ⁿ⁺¹ form the n-th row polynomial R_n(y) of triangle A097190 and satisfy R_n(1/3) = 9ⁿ for all n>=0. A97191

Number of (n+1)X(4+1) 0..1 arrays with no element having a strict majority of its horizontal and vertical neighbors equal to one. A231973