Properties of the Number 55039

Fifty-Five Thousand Thirty-Nine

Basics

Value: 55038 → 55039 → 55040

Parity: odd

Prime: No

Previous Prime: 55021

Next Prime: 55049

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 23 × 2393

Divisors: 1, 23, 2393, 55039

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011011111111

Octal: 153377

Duodecimal: 27A27

Hexadecimal: d6ff

Square: 3029291521

Square Root: 234.60392153585158

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

Irregular table whose rows list the nontrivial cycles of the ghost iteration A329201, starting with the smallest member. A329342

Number of nX6 0..1 arrays with every element unequal to 0, 1, 2, 4 or 8 king-move adjacent elements, with upper left element zero. A305243

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 4 or 8 king-move adjacent elements, with upper left element zero. A305244

Numbers of the form 2²ⁱ⁺¹*(8j+7). A55039

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4 or 8 king-move adjacent elements, with upper left element zero. A305245

The number of non-equivalent distinguishing coloring partitions of the path on n vertices (n>=1) with at most k parts (k>=1). Square array read by descending antidiagonals: the rows are indexed by n, the number of vertices of the path, and the columns are indexed by k, the number of parts. A309635

Length of nontrivial cycles under the ghost iteration A329201, as listed in the table A329342. A329341

Number of (n+1)X(2+1) arrays of permutations of 0..n·3+2 with each element having directed index change 2,-1 1,0 2,1 0,-1 -2,-2 or -1,0. A264485