Properties of the Number 92737

Ninety-Two Thousand Seven Hundred Thirty-Seven

Basics

Value: 92736 → 92737 → 92738

Parity: odd

Prime: Yes

Previous Prime: 92723

Next Prime: 92753

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 92737

Divisors: 1, 92737

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10110101001000001

Octal: 265101

Duodecimal: 45801

Hexadecimal: 16a41

Square: 8600151169

Square Root: 304.5275028630419

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+2) = a(n+1) + a(n) + (-1)ⁿ, with a(1) = a(2) = 1. A66983

Smallest primitive prime factor of 8ⁿ-1. A379641

Primes p such that p+2⁴, p+2⁶, p+2⁸ and p+2¹⁰ are all primes. A269258

a(n) = a(n-1) + a(n-2) - 1. A1588

a(n) = least primitive factor of 2²ⁿ⁺¹ - 1. A2184

G.f. satisfies A(x) = 1 + x·A(x)⁴ - x²*A(x)⁵. A200754

Primes of the form 2·F(k) + 1. A124081

Constant term in the reduction by (x² -> x + 1) of the polynomial p(n,x) defined below at Comments. A192908

Expansion of (1 - x + 3·x² + 4·x⁴ + 8·x⁵ + 3·x⁶ + x⁷ + x⁸) / ((1 + x)*(1 - x + x²)*(1 - x - x²)*(1 + x + 2·x² - x³ + x⁴)). A108391

a(n) = 2*(A000045(n)-(n mod 2)) + 1 + (n mod 2). A166012