Properties of the Number 8201

Eight Thousand Two Hundred One

Basics

Value: 8200 → 8201 → 8202

Parity: odd

Prime: No

Previous Prime: 8191

Next Prime: 8209

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 59 × 139

Divisors: 1, 59, 139, 8201

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000001001

Octal: 20011

Duodecimal: 48B5

Hexadecimal: 2009

Square: 67256401

Square Root: 90.55937278934744

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

Centered 10-gonal numbers. A62786

Number of ways to choose a constant partition of each part of a constant partition of n. A279789

Number of ways to split a strict composition of n into contiguous subsequences with different sums. A336128

Moore lower bound on the order of a (10,g)-cage. A198310

Heinz numbers of integer partitions with as many even parts as odd parts and as many even conjugate parts as odd conjugate parts. A350946

Expansion of (1+x)/(1-10·x+9·x²). A138894

Smallest value of·such that M(x) = n, where M() is Mertens's function A002321. A51400

a(n) = 2·a(n-1) + 3·a(n-2), a(0) = 1, a(1) = 4. A60925

Numbers k such that A081249(m)/m² has a local minimum for m = k. A81250

Nonprime Heinz numbers of multiples of triangular partitions, or of finite arithmetic progressions with offset 0. A325407