Properties of the Number 8208

Eight Thousand Two Hundred Eight

Basics

Value: 8207 → 8208 → 8209

Parity: even

Prime: No

Previous Prime: 8191

Next Prime: 8209

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 19

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000000010000

Octal: 20020

Duodecimal: 4900

Hexadecimal: 2010

Square: 67371264

Square Root: 90.598013223249

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: Yes

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

Armstrong (or pluperfect, or Plus Perfect, or narcissistic) numbers: m-digit nonnegative numbers equal to sum of the m-th powers of their digits. A5188

Perfect Digital Invariants: numbers that are the sum of some fixed power of their digits. A23052

The number of regions inside a hexagon formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts. A331931

Paradigm shift sequence for (4,5) production scheme with replacement. A246099

Irregular table of perfect digital invariants for n > 1, i.e., numbers equal to the sum of n-th powers of their digits, read by rows. A252648

Fixed points for operation of repeatedly replacing a number with the sum of the fourth power of its digits. A52455

Array read by antidiagonals: T(n,k) is the number of binary rooted trees with n leaves of k colors and all non-leaf nodes having out-degree 2. A319539

Primitive terms of A023197: numbers k such that σ(k)/k >= 3, but for every proper divisor, d∣k, d<k, σ(d)/d < 3. A388019

Numbers k such that Fibonacci(k) is divisible by k*(k+1). A217738

a(n) = T(n,n-4), array T as in A055818. A55821