Properties of the Number 86912

Eighty-Six Thousand Nine Hundred Twelve

Basics

Value: 86911 → 86912 → 86913

Parity: even

Prime: No

Previous Prime: 86869

Next Prime: 86923

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁷ × 7 × 97

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001110000000

Octal: 251600

Duodecimal: 42368

Hexadecimal: 15380

Square: 7553695744

Square Root: 294.80841236301245

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

a(n) = n·A001353(n). A317405

Cascadence of (1+2x)²; a triangle, read by rows of 2n+1 terms, that retains its original form upon convolving each row with [1,4,4] and then letting excess terms spill over from each row into the initial positions of the next row such that only 2n+1 terms remain in row n for n>=0. A120914

Coefficients in the expansion of 1/([r] + [2r]x + [3r]x² + ...); [ ] = floor, r = 7/4. A279678

Indices of records in A327008. A327010

Number of vertices formed in a square by straight line segments when connecting the n-1 points between each corner that divide each edge into n equal parts to the n-1 points on each of the two adjacent edges of the square. A358408

G.f.: (1+4·x+x²)/(1-4·x+x²). A234272

Exponential self-convolution of this sequence gives central binomial coefficients (A000984). A277339

E.g.f.: ∏_n>=1 (1 - x^2·n-1)^1/(2·n-1). A294458

Minimum number of steps to reach n by repeated doubling and/or digit reversal starting from 1, or -1 if n cannot be reached. A385194

a(n) = prime(a(n-1)) + abs(prime(n)-a(n-1)). A86912