Properties of the Number 45697

Forty-Five Thousand Six Hundred Ninety-Seven

Basics

Value: 45696 → 45697 → 45698

Parity: odd

Prime: Yes

Previous Prime: 45691

Next Prime: 45707

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 45697

Divisors: 1, 45697

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001010000001

Octal: 131201

Duodecimal: 22541

Hexadecimal: b281

Square: 2088215809

Square Root: 213.76856644511605

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

Primitive parts of Pell numbers. A8555

Expansion of 1/(1 - x⁶/(1-x)⁷). A369809

a(n) = ∑_{k=0..floor(n/2)} binomial(k,3*(n-2·k)). A392253

Primes that are palindromic in base 14. A29981

a(n) = smallest prime which divides Pell(n) = A000129(n) but does not divide any Pell(k) for k<n, or -1 if no such prime exists. A246556

Largest prime factor of the n-th Pell number, A000129(n). A264137

Primes p such that 8·p²-2·p-1 divides Fibonacci(p). A159231

Primes of the form 384·k + 1. A229854

a(n) = ∑_k=0..n binomial(k, 6*(n-k)). A293169

Primes of the form 256n+129. A105130