Properties of the Number 68683

Sixty-Eight Thousand Six Hundred Eighty-Three

Basics

Value: 68682 → 68683 → 68684

Parity: odd

Prime: Yes

Previous Prime: 68669

Next Prime: 68687

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 68683

Divisors: 1, 68683

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000110001001011

Octal: 206113

Duodecimal: 338B7

Hexadecimal: 10c4b

Square: 4717354489

Square Root: 262.0744169124487

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

Inverse Euler transform of the Moebius function A008683. A320781

Number of maximal subsets of {1..n} containing n such that every subset has a different sum. A325867

Primes having only {3, 6, 8} as digits. A385791

∏_n>=1 (1 + a(n)*xⁿ) = 1 + ∑_n>=1 μ(n)*xⁿ, where μ = A008683. A353926

∏_n>=1 1 / (1 - a(n)*xⁿ) = 1 + ∑_n>=1 μ(n)*xⁿ, where μ = A008683. A353949

Primes formed by concatenating k, k and 3 for k >= 1. A210512

a(n) = ∑_k=0..n-2 T(n,k) * T(n,k+2), with T given by A026725. A27209

∏_n>=1 (1 + xⁿ)^a(n) = 1 + ∑_n>=1 μ(n)*xⁿ, where μ = A008683. A353927

Primes p such that if q is the next prime, the sum (with multiplicity) of prime factors of p² + q² is a square. A359443

a(n) is the largest n-digit zeroless prime such that the sum of the two numbers that result from splitting a(n) between any two of its digits is a distinct prime. A103548