Properties of the Number 54131

Fifty-Four Thousand One Hundred Thirty-One

Basics

Value: 54130 → 54131 → 54132

Parity: odd

Prime: No

Previous Prime: 54121

Next Prime: 54133

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 11 × 19 × 37

Divisors: 1, 7, 11, 19, 37, 77, 133, 209, 259, 407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001101110011

Octal: 151563

Duodecimal: 273AB

Hexadecimal: d373

Square: 2930165161

Square Root: 232.66069715360177

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

a(n) = n³ - n*(n+1)/2. A160378

Numbers that are the sum of six fourth powers in six or more ways. A345563

Numbers that are the sum of six fourth powers in exactly six ways. A345818

Degeneracies of entanglement witness eigenstates for n spin 5 irreducible representations. A272395

Varma's Kosta numbers of semi-standard tableaux: array A(n>=2, k>=0) read by rising antidiagonals. A348210

Numbers k such that ω(k) = 4 and the largest prime factor of k equals the sum of its remaining distinct prime factors, where ω(k) = A001221(k). A383728

G.f.: (1+8·x+22·x²+8·x³+x⁴)/(1-x)⁶. A220892

Quasi-Carmichael numbers to base 3: squarefree composites n such that prime p∣n ==> p-3∣n-3. A29560

Numbers n such that the sum of the distinct prime divisors of n that are congruent to 1 mod 4 equals the sum of the distinct prime divisors congruent to 3 mod 4. A215949

a(n) is the total number of runs of ascents over all flattened Catalan words of length n. A372852