Properties of the Number 86021

Eighty-Six Thousand Twenty-One

Basics

Value: 86020 → 86021 → 86022

Parity: odd

Prime: No

Previous Prime: 86017

Next Prime: 86027

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 13 ² × 509

Divisors: 1, 13, 169, 509, 6617, 86021

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101000000000101

Octal: 250005

Duodecimal: 41945

Hexadecimal: 15005

Square: 7399612441

Square Root: 293.29336848964044

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) = numerator of harmonic number H(n) = ∑_i=1..n 1/i. A1008

Numerator of the polynomial A_l(x) = ∑_d=1..l-1 x^l-d/d for index l=2n+1 evaluated at x=1. A145609

a(n) = (1/1 + 1/2 + ... + 1/n)*lcm{1,2,...,n}. A25529

Denominator of the harmonic mean of the first n positive integers. A175441

Numerator of n·HarmonicNumber(n). A96617

Numerators of harmonic numbers when these numerators are divisible by squares of primes >= 5 in the case of Wolstenholme's Theorem. A76637

Numerator of ∑_{1<=k<=n, gcd(k,n)=1} 1/k. A93600

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 393", based on the 5-celled von Neumann neighborhood. A281742

Numerators of alternating sum transform (PSumSIGN) of Harmonic numbers H(n) = A001008/A002805. A35048

Absolute value of numerator of non-Euler-constant term of Laurent expansion of γ function at s = -n. A60746