Properties of the Number 56167

Fifty-Six Thousand One Hundred Sixty-Seven

Basics

Value: 56166 → 56167 → 56168

Parity: odd

Prime: Yes

Previous Prime: 56149

Next Prime: 56171

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 56167

Divisors: 1, 56167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101101100111

Octal: 155547

Duodecimal: 28607

Hexadecimal: db67

Square: 3154731889

Square Root: 236.9957805531567

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

Balanced primes (A090403) of index 3. A96707

Lesser of a pair (p,p+4) of cousin primes whose arithmetic mean p+2 is a square number. A176130

Primes p such that (p+nextprime(p))/2 is a perfect square. A225195

Primes of the form k² + k + 55661, with k >= 0. A116206

(2,3,5,7)-primes (see comments for precise definition). A262728

Number of permutations of [n] that avoid the patterns 2-41-3, 3-14-2, 2-1-4-3, and 4-5-3-1-2. A363813

Lesser of consecutive primes whose average is a perfect power. A242380

Primes that are concatenations of k-th composite and k-th prime. A38532

Number of (binary) max-heaps on n elements from the set {0,1} containing exactly five 0's. A326506

Values of k at which the ratio k/A005132(k) sets a new record. A330788