Properties of the Number 54248

Fifty-Four Thousand Two Hundred Forty-Eight

Basics

Value: 54247 → 54248 → 54249

Parity: even

Prime: No

Previous Prime: 54217

Next Prime: 54251

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 6781

Divisors: 1, 2, 4, 8, 6781, 13562, 27124, 54248

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101001111101000

Octal: 151750

Duodecimal: 27488

Hexadecimal: d3e8

Square: 2942845504

Square Root: 232.91200054956377

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 n X k 0..1 arrays with the number of 1's king-move adjacent to some 0 one less than the number of 0's adjacent to some 1. A284455

a(n) = C(n+6, 6) - n - 1. A62989

Triangle: T(n,k), k<=n: commutative groupoids with a nontrivial symmetry with n elements and k idempotents. A38023

Number of nonisomorphic commutative groupoids with no idempotents and a nontrivial symmetry. A30262

Number of n X 4 0..1 arrays with the number of 1's king-move adjacent to some 0 one less than the number of 0's adjacent to some 1. A284451

Number of n X 5 0..1 arrays with the number of 1's king-move adjacent to some 0 one less than the number of 0's adjacent to some 1. A284452

θ series of odd 8-dimensional 5-modular lattice O(5). A29719

Binary entropy: a(n) = n + min { a(k)+a(n-k) : 1 <= k <= n-1 }. A54248

Numbers n such that n²+k-1 is the sum of two nonzero squares in exactly k ways for all k = 1, 2, 3. A273341