Properties of the Number 86905

Eighty-Six Thousand Nine Hundred Five

Basics

Value: 86904 → 86905 → 86906

Parity: odd

Prime: No

Previous Prime: 86869

Next Prime: 86923

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 7 × 13 × 191

Divisors: 1, 5, 7, 13, 35, 65, 91, 191, 455, 955

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001101111001

Octal: 251571

Duodecimal: 42361

Hexadecimal: 15379

Square: 7552479025

Square Root: 294.7965400068325

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 partitions p of n such that 2*(number of even numbers in p) >= (number of odd numbers in p). A241654

Expansion of ( 1-x-x² ) / ( 1-2·x-2·x²+x³+x⁴ ). A52960

Let S denote the palindromes in the language {0,1,2,...,n-1}*; a(n) = number of words of length 4 in the language SS. A187277

Number of 2 X n 0..3 arrays with antidiagonals unimodal and rows and diagonals nondecreasing. A223962

Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= (n-1)/3. A48011

Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= (n-2)/3. A48022

Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= (n-3)/3. A48033

a(n) = ∑_k=0..n (-1)^n-k*binomial(k,floor(k/2)). A86905