Properties of the Number 8327

Eight Thousand Three Hundred Twenty-Seven

Basics

Value: 8326 → 8327 → 8328

Parity: odd

Prime: No

Previous Prime: 8317

Next Prime: 8329

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 11 × 757

Divisors: 1, 11, 757, 8327

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000010000111

Octal: 20207

Duodecimal: 499B

Hexadecimal: 2087

Square: 69338929

Square Root: 91.25239722878517

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) = 4·n² - 3·n + 1. A54552

Expansion of x*(1+x-x²)/((1-x)⁴*(1+x)). A5744

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 1 1 and 1 0 1 vertically. A207269

Integer part of square root of n⁵ = A000584(n). A155013

a(n) = 2*(n+1) + 3·n + ... + (k+1)*(n+2-k), where k = floor((n+1)/2). A24305

Number of series-reduced rooted trees whose leaves are non-singleton integer partitions whose multiset union is an integer partition of n with no 1's. A320294

Semiprimes in A054552. A113690

Constant term of the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192960

Odd semiprimes k = p·q such that k = A325820(p,q), with p, q primes > 3, and A325820 is the carryless base-3 multiplication. A391331

a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k. A24843