Properties of the Number 8217

Eight Thousand Two Hundred Seventeen

Basics

Value: 8216 → 8217 → 8218

Parity: odd

Prime: No

Previous Prime: 8209

Next Prime: 8219

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 × 83

Divisors: 1, 3, 9, 11, 33, 83, 99, 249, 747, 913

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000011001

Octal: 20031

Duodecimal: 4909

Hexadecimal: 2019

Square: 67519089

Square Root: 90.64766957842876

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 icosahedral (or cuboctahedral) numbers, also crystal ball sequence for f.c.c. lattice. A5902

Number of complete compositions of n. A107429

T(n,k) is the number of (n+1) X (k+1) 0..2 arrays containing all values 0..2 with every 2 X 2 subblock having two or three distinct values, and new values 0..2 introduced in row major order. A210012

Numbers n = concat(a,b) such that φ(n) = φ(a) * φ(b), where φ = A000010. A147619

Numbers which are the sum of three cubes of distinct primes. A138854

Number of edges in an equilateral triangle when n internal equilateral triangles are drawn between the 3n points that divide each side into n+1 equal parts. A357008

Let A(n) = #{(i,j,k): i² + j² + k² <= n}, V(n) = (4/3)*π*n^3/2, P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives A(A000092(n)). A413

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n, having k long ascents (i.e., ascents of length at least 2). Rows are of length 1,1,2,2,3,3,... . A91156

Sums of prime points found in four grids in each corner of a square. A161190

Series reversion of η(-x) - 1. A176025