Properties of the Number 45691

Forty-Five Thousand Six Hundred Ninety-One

Basics

Value: 45690 → 45691 → 45692

Parity: odd

Prime: Yes

Previous Prime: 45677

Next Prime: 45697

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 45691

Divisors: 1, 45691

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001001111011

Octal: 131173

Duodecimal: 22537

Hexadecimal: b27b

Square: 2087667481

Square Root: 213.75453211569572

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) = smallest odd number 2m+1 such that the partial sum of the odd harmonic series ∑_j=0..m 1/(2j+1) is > n. A56053

Primes that remain prime through 3 iterations of function f(x) = 5x + 2. A23283

a(n) = smallest odd number 2m+1 such that the partial sum ∑_j=0..m 1/(2j+1) of the odd harmonic series is >= n. A92317

Prime numbers (together with one) whose representation in balanced ternary are palindromes. A224502

a(n) = ∑_{k=0..floor(n/5)} binomial(2·k,k) * binomial(n-2·k,3·k). A393247

Sum(j=1,n,floor(A000041(j)/j)). A86736

Number of binary words of length n with autocorrelation function 2^n-1+1. A45691