Properties of the Number 85841

Eighty-Five Thousand Eight Hundred Forty-One

Basics

Value: 85840 → 85841 → 85842

Parity: odd

Prime: No

Previous Prime: 85837

Next Prime: 85843

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 × 12263

Divisors: 1, 7, 12263, 85841

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111101010001

Octal: 247521

Duodecimal: 41815

Hexadecimal: 14f51

Square: 7368677281

Square Root: 292.98634780480813

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

Number of ordered unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 6. A244535

Multiplicity of trivial character in V_n, where V = Sum V_n is the graded module for the Monster simple group. A14810

Solutions to A096509[x]=7; number of prime-powers [including primes] in the neighborhood of·with Ceiling[Log[x]] radius equals 7. A96518

Number of slanted nX6 (i=1..n)X(j=i..6+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, and 4 in the lower right corner. A165375

Number of slanted 4Xn (i=1..4)X(j=i..n+i-1) 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, and 4 in the lower right corner. A165387

Triangle: row #n has n+1 terms. T(n,m) = 4^m (2n+1)! / ( (2n-2m)! (2m+1)! ). A85841