Properties of the Number 54656

Fifty-Four Thousand Six Hundred Fifty-Six

Basics

Value: 54655 → 54656 → 54657

Parity: even

Prime: No

Previous Prime: 54647

Next Prime: 54667

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁷ × 7 × 61

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101010110000000

Octal: 152600

Duodecimal: 27768

Hexadecimal: d580

Square: 2987278336

Square Root: 233.78622713923932

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 loop-graphical integer partitions of 2n. A339656

a(n) = (5·4ⁿ + (-2)ⁿ)/6. A83424

Number of different multisets that can be obtained by choosing a prime index (or a prime factor) of each integer from 2 to n. A355746

Number of representations of n as a sum of products of pairs of positive integers, n = ∑_k=1..m i_k*j_k with i_k<=j_k, i_k<=i_k+1, j_k<=j_k+1, i_k*j_k<=i_k+1*j_k+1. A212214

Number of subsets of {1..n} (including empty set) such that the pairwise LCMs of elements are all distinct. A196721

a(n) = (5·n² + 1)*n² / 6. A8354

Numbers appearing in A245180. A245181

Numbers whose Schwarzian arithmetic derivative is an integer. A209872

Number of (6+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 2 3 6 or 7. A252538

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 3 6 or 7. A252532