Properties of the Number 82807

Eighty-Two Thousand Eight Hundred Seven

Basics

Value: 82806 → 82807 → 82808

Parity: odd

Prime: No

Previous Prime: 82799

Next Prime: 82811

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 17 × 4871

Divisors: 1, 17, 4871, 82807

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100001101110111

Octal: 241567

Duodecimal: 3BB07

Hexadecimal: 14377

Square: 6856999249

Square Root: 287.7620544825186

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

T(n,k)=Number of nXk 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically. A206889

T(n,k)=Number of nXk binary arrays without the pattern 0 0 1 vertically or horizontally. A188763

a(n) = ∑_k=1..n floor(n³/k³). A344675

Number of nX3 binary arrays without the pattern 0 0 1 vertically or horizontally. A188757

Number of nX7 binary arrays without the pattern 0 0 1 vertically or horizontally. A188761

Number of 7Xn 0..1 arrays avoiding 0 1 0 horizontally and 1 0 0 vertically. A206893

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

Number of partitions of n into parts but with two kinds of parts of sizes 1 to 8. A103927

Palindromic primes p with property that another palindromic prime with as many digits can be obtained by using all the digits of p with a different frequency >=1 (every digit is used at least once). A82807