Properties of the Number 53655

Fifty-Three Thousand Six Hundred Fifty-Five

Basics

Value: 53654 → 53655 → 53656

Parity: odd

Prime: No

Previous Prime: 53653

Next Prime: 53657

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 7 ² × 73

Divisors: 1, 3, 5, 7, 15, 21, 35, 49, 73, 105

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000110010111

Octal: 150627

Duodecimal: 27073

Hexadecimal: d197

Square: 2878859025

Square Root: 231.63548950884015

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

a(n) = (50·n⁷ - 1197·n⁶ + 11333·n⁵ - 53655·n⁴ + 132125·n³ - 156828·n² + 73212·n + 5040)/5040. A161715

Indices of the start of 10 successive distinct digits in the decimal expansion of π. A258157

Expansion of (1-4·x+7·x²-5·x³+4·x⁴-6·x⁵+21·x⁶+18·x⁷-5·x⁸)/(1-x)⁵. A212393

Numbers k such that 3^k + 3⁴ + 1 is prime. A168170

Triangle read by rows, T(n,k) = |n,k|*h(k), where |n,k| are the Stirling cycle numbers and h(k) = hypergeom([-k+1,-k],[],1), for n>=0 and 0<=k<=n. A256548

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (0, 0, -1), (0, 1, 1), (1, 0, -1)}. A148725

Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 2 ones in any 5 X 5 X 5 subtriangle. A153919

a(n) = (10ⁿ - 1)*(10^2·n-1 - 1)/81. A53655