Properties of the Number 97732

Ninety-Seven Thousand Seven Hundred Thirty-Two

Basics

Value: 97731 → 97732 → 97733

Parity: even

Prime: No

Previous Prime: 97729

Next Prime: 97771

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 53 × 461

Divisors: 1, 2, 4, 53, 106, 212, 461, 922, 1844, 24433

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111110111000100

Octal: 276704

Duodecimal: 48684

Hexadecimal: 17dc4

Square: 9551543824

Square Root: 312.62117650600703

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

Expansion of ∏_k=1..16 theta₃(q^k), where theta₃() is the Jacobi θ function. A320247

Expansion of ∏_k>=1 (1 + x^k)^A002131(k). A301798

Pell equation solutions (7·a(n))² - 2*(5·b(n))² = -1 with b(n):=A097733(n), n >= 0. Note that D=50=2·5² is not squarefree. A97732