Properties of the Number 45371

Forty-Five Thousand Three Hundred Seventy-One

Basics

Value: 45370 → 45371 → 45372

Parity: odd

Prime: No

Previous Prime: 45361

Next Prime: 45377

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 59 × 769

Divisors: 1, 59, 769, 45371

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000100111011

Octal: 130473

Duodecimal: 2230B

Hexadecimal: b13b

Square: 2058527641

Square Root: 213.00469478394132

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

Minimal (positive) solution a(n) of Pell equation a(n)² - D(n)*b(n)² = +4 with D(n)= A077425(n). The companion sequence is b(n)=A078355(n). A77428

Expansion of ∏_k>=1 (1 - x^8·k)/(1 - x^k). A261775

The number of partitions of n in which at least one part is a multiple of 3. A295341

Numerators of continued fraction convergents to sqrt(157). A41288

Denominators of continued fraction convergents to sqrt(537). A42027

Starts of a record number of consecutive integers n such that n² + 1 is composite. A293564

a(0)=1. a(n) = a(n-1)*(n+1), if n is in the sequence. a(n)= a(n-1) +1, if n is missing from the sequence. A118471

Main diagonal of A332367, divided by 4. A332368

Starts of strictly increasing runs of 0's in Mertens's function A002321. A319520

Primes congruent to {1, 2, 4} mod 5. A45371