Properties of the Number 54167

Fifty-Four Thousand One Hundred Sixty-Seven

Basics

Value: 54166 → 54167 → 54168

Parity: odd

Prime: Yes

Previous Prime: 54163

Next Prime: 54181

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 54167

Divisors: 1, 54167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001110010111

Octal: 151627

Duodecimal: 2741B

Hexadecimal: d397

Square: 2934063889

Square Root: 232.73805017658802

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

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241283

Primes which are the sum of the first k odd primes for some k. A71151

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 601", based on the 5-celled von Neumann neighborhood. A283220

Prime numbers preceded by two consecutive numbers which are products of four distinct primes (or tetraprimes). A361796

Number of partitions of 2·n having four times as many odd parts as even. A393514

Number of 4Xn 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241286

Number of positive integers <= 2ⁿ of form 3 x² + 10 y². A54167