Properties of the Number 86589

Eighty-Six Thousand Five Hundred Eighty-Nine

Basics

Value: 86588 → 86589 → 86590

Parity: odd

Prime: No

Previous Prime: 86587

Next Prime: 86599

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 1069

Divisors: 1, 3, 9, 27, 81, 1069, 3207, 9621, 28863, 86589

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001000111101

Octal: 251075

Duodecimal: 42139

Hexadecimal: 1523d

Square: 7497654921

Square Root: 294.2600890368927

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

Concatenations C1 and C2 and C3 and C4 are all prime (see the comment lines). A34819

Sequence generated from Golomb's proof of de Bruijn's theorem on a torus considered as a matrix. A95905

E.g.f.: A(x) = ∑_n>=0 log(1+x)^[n*φ] / [n*φ]!, where [n*φ] = A000201(n), the lower Wythoff sequence, and φ = (1+sqrt(5))/2. A180869

Number of fixed points in range [A014137(n-1)..A014138(n-1)] of permutations A072088/A072089. A86589