Properties of the Number 97728

Ninety-Seven Thousand Seven Hundred Twenty-Eight

Basics

Value: 97727 → 97728 → 97729

Parity: even

Prime: No

Previous Prime: 97711

Next Prime: 97729

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ⁶ × 3 × 509

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110111000000

Octal: 276700

Duodecimal: 48680

Hexadecimal: 17dc0

Square: 9550761984

Square Root: 312.61477892127874

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. A(x) = ∑_n>=0 a(n)*xⁿ satisfies A(x) = 1/(1 - a(0)*x^a(0)/(1 - a(1)*x^a(1)/(1 - a(2)*x^a(2)/(1 - ...)))), a continued fraction. A291419

Chebyshev U(n,x) polynomial evaluated at x=73 = 2·6²+1. A97728

Number of 4 X n 0-1 matrices which have n+3 1's and have no zero rows or zero columns. A84486