Properties of the Number 5167

Five Thousand One Hundred Sixty-Seven

Basics

Value: 5166 → 5167 → 5168

Parity: odd

Prime: Yes

Previous Prime: 5153

Next Prime: 5171

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5167

Divisors: 1, 5167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010000101111

Octal: 12057

Duodecimal: 2BA7

Hexadecimal: 142f

Square: 26697889

Square Root: 71.88184749990779

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

Hex (or centered hexagonal) numbers: 3·n*(n+1)+1 (crystal ball sequence for hexagonal lattice). A3215

a(n) = a(n-1) + a(n-2) + 1, with a(0) = a(1) = 1. A1595

Cuban primes: primes which are the difference of two consecutive cubes. A2407

Primes with first digit 5. A45711

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

Primes such that the sum of the predecessor and successor primes is divisible by 29. A112859

a(n) is the least prime such that the multiplicative order of 5 mod a(n) equals n. A143665

Smallest prime in the sequence s(k) = n·s(k-1) - s(k-2), with s(0) = 1, s(1) = n + 1 (or -1 if no such prime exists). A269253

Sums of nonconsecutive factorial numbers. A60112

Largest prime factor of 5ⁿ - 1. A74479