Properties of the Number 6971

Six Thousand Nine Hundred Seventy-One

Basics

Value: 6970 → 6971 → 6972

Parity: odd

Prime: Yes

Previous Prime: 6967

Next Prime: 6977

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 6971

Divisors: 1, 6971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100111011

Octal: 15473

Duodecimal: 404B

Hexadecimal: 1b3b

Square: 48594841

Square Root: 83.49251463454674

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

Primes of the form k² - k - 1. A2327

Primes p such that x⁴¹ = 2 has no solution mod p. A59236

Primes congruent to 2 mod 23. A141908

Larger of two consecutive prime numbers such that p1·p2·d + d = average of twin prime pairs, d (δ) = p2 - p1. A153377

Smallest prime p==3 (mod 8) such that Q(sqrt(-p)) has class number 2n+1. A2148

Numbers k such that (20^k+1)/21 is a prime. A57186

Number of square plane partitions of n. A89299

Primes that can be written as the sum of 13 consecutive primes. A127341

a(n) = 4·n² + 6·n + 1. A82108

Father primes of order 10. A136079