Properties of the Number 8226

Eight Thousand Two Hundred Twenty-Six

Basics

Value: 8225 → 8226 → 8227

Parity: even

Prime: No

Previous Prime: 8221

Next Prime: 8231

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 457

Divisors: 1, 2, 3, 6, 9, 18, 457, 914, 1371, 2742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000000100010

Octal: 20042

Duodecimal: 4916

Hexadecimal: 2022

Square: 67667076

Square Root: 90.69729874698585

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 integer partitions of n whose negated run-lengths are not unimodal. A332639

Numbers n such that Bernoulli number B_n has denominator 798. A272138

15-gonal (or pentadecagonal) numbers: n*(13n-11)/2. A51867

Small-number statistic from the enumeration of domino tilings of a 7-pillow of order n. A112841

Number of non-equivalent binary n X n matrices with two nonadjacent 1's. A232567

Numbers which are the sum of their proper divisors containing the digit 4. A59463

Numbers k such that the cumulative sums of the k-th composition in graded reverse lexicographic order ("standard order", see A066099) do not cover all residue classes modulo p for any prime p; i.e., such that (0, x₁, ..., x₁+...+x_j) is an admissible prime tuple pattern, where (x₁, ..., x_j) is the k-th composition. A387383

∏_k>=1 ((1 + x^k)^a(k)) = 1 + 4x. A38069

Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both prime. A85775

Number of partitions p of n such that m(p) < m(c(p)), where m = minimal multiplicity of parts, and c = conjugate. A240729