Properties of the Number 97166

Ninety-Seven Thousand One Hundred Sixty-Six

Basics

Value: 97165 → 97166 → 97167

Parity: even

Prime: No

Previous Prime: 97159

Next Prime: 97169

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 19 × 2557

Divisors: 1, 2, 19, 38, 2557, 5114, 48583, 97166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101110001110

Octal: 275616

Duodecimal: 48292

Hexadecimal: 17b8e

Square: 9441231556

Square Root: 311.71461306778673

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

a(n) = a(n-1) + a(n-2) + a([n/3]) + a([2n/3]), where a(0) = 1, a(1) = 2, a(2) = 3. A298345

Numbers n such that 3·p(n)+2, 3·p(n+1)+2 and 3·p(n+2)+2 are consecutive primes in arithmetic progression 0,18,36 so p(n), p(n+1) and p(n+2) are in arithmetic progression 0,6,12. A102868

Expansion of g.f. (1+2·x)/((1-x)*(1-10·x)). A97166