Properties of the Number 54207

Fifty-Four Thousand Two Hundred Seven

Basics

Value: 54206 → 54207 → 54208

Parity: odd

Prime: No

Previous Prime: 54193

Next Prime: 54217

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 19 × 317

Divisors: 1, 3, 9, 19, 57, 171, 317, 951, 2853, 6023

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101001110111111

Octal: 151677

Duodecimal: 27453

Hexadecimal: d3bf

Square: 2938398849

Square Root: 232.82396783836495

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

Triangle read by rows: number of Dyck paths of semilength n having k 3-bridges of a given shape (0<=k<=floor(n/3)). A 3-bridge is a subpath of the form UUUDDD or UUDUDD starting at level 0. A114499

Number of Dyck paths of semilength n having no UUUDDD's starting at level zero; here U=(1,1), D=(1,-1). Also number of Dyck paths of semilength n having no UUDUDD's starting at level zero. A114500

Cluster series for percolation on the cells of the Cairo tiling. A390623

Consider all integer triples (i,j,k), j >= k > 0, with binomial(i+2,3)=j³+k³, ordered by increasing i; sequence gives k values. A54207

Number of (n+1)X(2+1) 0..3 arrays with the maximum minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A238066