Properties of the Number 53268

Fifty-Three Thousand Two Hundred Sixty-Eight

Basics

Value: 53267 → 53268 → 53269

Parity: even

Prime: No

Previous Prime: 53267

Next Prime: 53269

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 23 × 193

Divisors: 1, 2, 3, 4, 6, 12, 23, 46, 69, 92

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101000000010100

Octal: 150024

Duodecimal: 269B0

Hexadecimal: d014

Square: 2837479824

Square Root: 230.79861351403306

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

Number of integer partitions of n such that for some part k the multiplicity of k exceeds k. A387578

Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,51. A64262

Numbers k such that in a rotated-square spiral with positive integers (A215468) among k's eight nearest neighbors five or more are primes. A215471

Number of ways to place zero or more nonadjacent 1,0 1,1 2,1 3,1 4,2 4,3 4,4 5,4 polyhexes in any orientation on a planar nXnXn triangular grid. A155393

Coefficients of mock modular form H₂⁷ of type 1A, divided by 4. A256057

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 475", based on the 5-celled von Neumann neighborhood. A272448

Coefficients of the '6th-order' mock θ function φ(q). A53268

Least k such that k·A000668(n)*A000668(n+3) + 1 is prime, where A000668(n) is the n-th Mersenne prime. A365064