Properties of the Number 51541

Fifty-One Thousand Five Hundred Forty-One

Basics

Value: 51540 → 51541 → 51542

Parity: odd

Prime: No

Previous Prime: 51539

Next Prime: 51551

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 7 × 37 × 199

Divisors: 1, 7, 37, 199, 259, 1393, 7363, 51541

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100101010101

Octal: 144525

Duodecimal: 259B1

Hexadecimal: c955

Square: 2656474681

Square Root: 227.02643017939565

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

Sieve performed by successive iterations of steps where step m is: keep m terms, remove the next 3 and repeat; as m = 1,2,3,.. the remaining terms form this sequence. A112561

Number of partitions of the set of odd numbers {1, 3, ..., 2·n-1} into two subsets such that the absolute difference of the sums of the two subsets is minimized. A290889

Maximal coefficient of (1 + x) * (1 + x³) * (1 + x⁵) * ... * (1 + x^2·n-1). A350504

Number of solutions to +- 1 +- 3 +- 5 +- 7 +- ... +- (2·n-1) = 0 or 1. A367087

Number of solutions to +- 1 +- 3 +- 5 +- 7 +- ... +- (4·n-3) = 1. A369729

Euler totient function φ(n): count numbers <= n and prime to n. A10

Quotients of consecutive values of LCM {1, 5, 9, 13, 17, ..., (4n+1)}. A51541