Properties of the Number 6261

Six Thousand Two Hundred Sixty-One

Basics

Value: 6260 → 6261 → 6262

Parity: odd

Prime: No

Previous Prime: 6257

Next Prime: 6263

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 2087

Divisors: 1, 3, 2087, 6261

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001110101

Octal: 14165

Duodecimal: 3759

Hexadecimal: 1875

Square: 39200121

Square Root: 79.12648102879339

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

T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and first and second differences in -k..k. A209007

Number of partitions of n containing no part i of multiplicity i+1. A277099

Expansion of ∏_k>=1 1/((1 - x^k) * (1 - x^2·k) * (1 - x^3·k)). A327042

Expansion of ∏_k>=1 1/((1 - x^k) * (1 - x^2·k) * (1 - x^3·k) * (1 - x^4·k)). A327043

Ulam's spiral (ESE spoke). A143855

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 629", based on the 5-celled von Neumann neighborhood. A273295

Numbers n such that googol - n is prime. A108251

Row sums of triangle A120919 (cascadence of (1+x)³). A120923

G.f.: exp( ∑_n>=1 A206158(n)*xⁿ/n ), where A206158(n) = ∑_k=0..n binomial(n,k)^2·k+1. A206157

Irregular triangle read by rows: T(n,k) = number of ways k brooks (0 <= k <= 2n+1) can be placed on the grid points of an n triboard so that no two brooks lie in the same straight line. A260333