Properties of the Number 6406

Six Thousand Four Hundred Six

Basics

Value: 6405 → 6406 → 6407

Parity: even

Prime: No

Previous Prime: 6397

Next Prime: 6421

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 3203

Divisors: 1, 2, 3203, 6406

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100100000110

Octal: 14406

Duodecimal: 385A

Hexadecimal: 1906

Square: 41036836

Square Root: 80.03749121505496

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

Indices in A146326 where records occur. A146345

Number of permutations of length n with equal cycles. A5225

Number of connected cyclic conjugacy classes of subgroups of the symmetric group. A218970

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal. A232589

a(n) = n*(7·n + 11)/2 + 1. A198017

Number of subsets of {1..n} with all different first differences of elements. A364465

Triangular array read by rows: T(n,k) is the number of n-permutations that have exactly k distinct cycle lengths. A218868

Number of partitions p of n such that the multiplicity of 2·min(p) is a part. A240496

Number T(n,k) of permutations of [n] for which the difference between the longest and the shortest cycle length is k; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows. A364967

A Chebyshev transform of the large Schroeder numbers A006318. A162543