Properties of the Number 8371

Eight Thousand Three Hundred Seventy-One

Basics

Value: 8370 → 8371 → 8372

Parity: odd

Prime: No

Previous Prime: 8369

Next Prime: 8377

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 11 × 761

Divisors: 1, 11, 761, 8371

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010110011

Octal: 20263

Duodecimal: 4A17

Hexadecimal: 20b3

Square: 70073641

Square Root: 91.49316914393118

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

Number of integer partitions of n having a unique mode. A362608

a(n) = floor(n*φ¹²), where φ is the golden ratio, A001622. A4927

Centered 18-gonal numbers. A69131

Positive integers n such that 2ⁿ == 2¹¹ (mod n). A15935

a(n) = 4·n² + 6·n + 1. A82108

Odd integers n such that 2ⁿ == 2¹¹ (mod n). A276971

Numbers that are the sum of five third powers in nine or more ways. A345185

Numbers that are the sum of five third powers in ten or more ways. A345187

Number of strict partitions of 2n having 1 more even part than odd, so that there is at least one ordering of the parts in which the even and odd parts alternate, and the first and last terms are even. A239872

a(n) = n⁴ + 2·n³ + 4·n² + 3·n + 1 = ((n+1)⁵+n⁵) / (2·n+1). A72025