Properties of the Number 97223

Ninety-Seven Thousand Two Hundred Twenty-Three

Basics

Value: 97222 → 97223 → 97224

Parity: odd

Prime: No

Previous Prime: 97213

Next Prime: 97231

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 7 × 17 × 19 × 43

Divisors: 1, 7, 17, 19, 43, 119, 133, 301, 323, 731

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101111000111

Octal: 275707

Duodecimal: 4831B

Hexadecimal: 17bc7

Square: 9452311729

Square Root: 311.8060294477963

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

G.f.: exp( ∑_n>=1 A000204(n)⁹ * xⁿ/n ) where A000204 is the Lucas numbers. A203809

Number of multiples of 3 in 0..2ⁿ-1 with an even sum of base-2 digits. A36557

Expansion of (1 - 5·x + 5·x²)/((1-x)*(1-3·x)*(1-4·x)). A85282

a(n) = ∑_{2·i+3·j=n, 0<=i<=n, 0<=j<=n} n!/( (2·i)!*(3·j)! ). A94715

Prime numbers p such that p = prime(n) and n = product of the digits of p. A97223

a(n) = (1/n) * ∑_d∣n moebius(n/d) * Lucas(d)⁸, where Lucas(n) = A000204(n). A203859