Properties of the Number 61785

Sixty-One Thousand Seven Hundred Eighty-Five

Basics

Value: 61784 → 61785 → 61786

Parity: odd

Prime: No

Previous Prime: 61781

Next Prime: 61813

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1373

Divisors: 1, 3, 5, 9, 15, 45, 1373, 4119, 6865, 12357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000101011001

Octal: 170531

Duodecimal: 2B909

Hexadecimal: f159

Square: 3817386225

Square Root: 248.5658866377283

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 4-cycles in the Lucas cube λ(n). A245961

a(n) = n! * ∑_k=0..n k^{3 * (n-k}) / (n-k)!. A358687

Coefficients of a generalized Jaco-Lucas polynomial (even indices) read by rows. A122076

Expansion of ∑_k>=0 x^k*(k+1/2) / ∏_j=1..k (1 + j·x^j). A306704

a(n) = m such that 2^m < 5ⁿ < 2^m+1. A61785