Properties of the Number 8224

Eight Thousand Two Hundred Twenty-Four

Basics

Value: 8223 → 8224 → 8225

Parity: even

Prime: No

Previous Prime: 8221

Next Prime: 8231

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁵ × 257

Divisors: 1, 2, 4, 8, 16, 32, 257, 514, 1028, 2056

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000100000

Octal: 20040

Duodecimal: 4914

Hexadecimal: 2020

Square: 67634176

Square Root: 90.68627239003708

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

Number of ways of writing n as a sum of 6 squares. A141

a(n) = n*(8·n+1). A139275

Number of integer partitions of n such that the number of parts is equal to the number of distinct divisors of parts. A371130

Row sums of (signed) triangle A060821 (Hermite polynomials). A62267

Numbers of the form q*(2^k), where q is one of the Fermat primes and k >= 0; Numbers n for which A329697(n) == 1. A334101

Composites whose prime factorization in base 3 is an anagram of the number in base 3. A260047

θ series of {D₆}⁺ lattice. A8434

The positions of ones in the binary expansion of n have integer geometric mean. A326672

T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235186

Expansion of (1-x-x^N)/((1-x)(1-x²)(1-x³)...(1-x^N)) for N = 8. A60027