Properties of the Number 54013

Fifty-Four Thousand Thirteen

Basics

Value: 54012 → 54013 → 54014

Parity: odd

Prime: Yes

Previous Prime: 54011

Next Prime: 54037

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 54013

Divisors: 1, 54013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001011111101

Octal: 151375

Duodecimal: 27311

Hexadecimal: d2fd

Square: 2917404169

Square Root: 232.4069706355642

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) = ∑_k=1..n μ(k)*k⁴. A336278

Positions of pandigital 10-digit numbers after the decimal point in the decimal expansion of π. A280183

Least magic constant of magic squares using Smith numbers. A170928

Primes p containing the string "13" and sum of digits sod(p) = 13. A175017

A proximate-prime polynomial sequence generated by 2·n² - 2·n + 53089. A155557

Number of n X 2 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X 3 binary array having determinant equal to one, with rows and columns of the latter in nondecreasing lexicographic order. A227637

Primes p = prime(k) whose decimal expansion contains the string 13 and such that digsum(p) = disgum(k) where digsum = A007953 is the sum of digits function. A169645

Arises from color-symmetrized counting of tensor invariants. A232211

Chowla function of n read modulo n. A54013