Properties of the Number 85683

Eighty-Five Thousand Six Hundred Eighty-Three

Basics

Value: 85682 → 85683 → 85684

Parity: odd

Prime: No

Previous Prime: 85669

Next Prime: 85691

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 ⁴

Divisors: 1, 3, 13, 39, 169, 507, 2197, 6591, 28561, 85683

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111010110011

Octal: 247263

Duodecimal: 41703

Hexadecimal: 14eb3

Square: 7341576489

Square Root: 292.7165864791403

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

Numbers of the form (3ⁱ)*(13^j). A107364

Number of overpartitions of n minus the number of partitions of n. A230441

Numbers k such that the k-th cyclotomic polynomial has a root mod 13. A245481

Numbers k such that (k+j) mod (2+j) = 1 for j from 0 to 8 and (k+9) mod 11 <> 1. A96026

a(n) = 3·n⁴. A219056

Number of 2 X 2 matrices with all elements in {0,1,...,n} and positive odd determinant. A210373

Number of 2 X 2 matrices having all terms in {1,...,n} and positive odd determinant. A211068

Consider primitive pairs of integers (b, c) with b > 0 such that x⁵ + b·x + c = 0 is irreducible and solvable by radicals: sequence gives values of c. A371554

Number of (w,x,y,z) with all terms in {1,...,n} and w<2x and y>=2z. A212505

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A052750. A384718