Properties of the Number 8406

Eight Thousand Four Hundred Six

Basics

Value: 8405 → 8406 → 8407

Parity: even

Prime: No

Previous Prime: 8389

Next Prime: 8419

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 467

Divisors: 1, 2, 3, 6, 9, 18, 467, 934, 1401, 2802

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10000011010110

Octal: 20326

Duodecimal: 4A46

Hexadecimal: 20d6

Square: 70660836

Square Root: 91.68424073961675

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 bipartite partitions of n white objects and n black ones. A2774

Number of n X 1 0..1 arrays with every row and column least squares fitting to a nonnegative slope straight line, with a single point array taken as having zero slope. A222855

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252139

Sum of multinomials M(n-k; p₁-1, ..., p_k-1), where p = (p₁, ..., p_k) ranges over all partitions of n into distinct parts (k is a partition length). A326493

Irregular triangle T(r,w) read by rows: number of ways of placing w non-attacking wazirs on a 3 X r board. A371967

a(n) = 5·n² + 1. A212656

Largest achievable determinant of a 3 X 3 matrix whose elements are 9 distinct integers chosen from the range -n...n. A97693

Triangle read by rows: T(n,k) (0 <= k <= n) is the number of partitions of (n,k) into a sum of pairs. A201376

Number of bipartite partitions of n white objects and 8 black ones. A2757

Number of bipartite partitions of ceiling(n/2) white objects and floor(n/2) black ones. A91437