Properties of the Number 97278

Ninety-Seven Thousand Two Hundred Seventy-Eight

Basics

Value: 97277 → 97278 → 97279

Parity: even

Prime: No

Previous Prime: 97259

Next Prime: 97283

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 31 × 523

Divisors: 1, 2, 3, 6, 31, 62, 93, 186, 523, 1046

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111101111111110

Octal: 275776

Duodecimal: 48366

Hexadecimal: 17bfe

Square: 9463009284

Square Root: 311.89421283505726

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

McKay-Thompson series of class 20F for Monster. A58555

Expansion of (η(q⁴) * η(q⁵) / (η(q) * η(q²⁰)))² in powers of q. A298107

Expansion of 1/q * χ(q) * χ(q⁵) * χ(-q²⁰)² / χ(-q)² in powers of q where χ() is a Ramanujan θ function. A298116

Related to the diagonal of 1/((1 - x - y - u - z)*(1 - u - z - u z)). A268547

Triangle read by rows: T(n, k) = number of permutations <p(1), p(2), ..., p(n)> of <1, 2, ..., n> that end with k, such that p(k) > p(k-1) when k is composite and p(k) < p(k-1) when k is prime. (n > 0, 1 <= k <= n). A97278