Properties of the Number 6404

Six Thousand Four Hundred Four

Basics

Value: 6403 → 6404 → 6405

Parity: even

Prime: No

Previous Prime: 6397

Next Prime: 6421

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 1601

Divisors: 1, 2, 4, 1601, 3202, 6404

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100100000100

Octal: 14404

Duodecimal: 3858

Hexadecimal: 1904

Square: 41011216

Square Root: 80.02499609497022

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

Numbers k such that k!! - 1 is prime. A7749

Number of permutations of length n within distance 3 of a fixed permutation. A2526

Number of ways to place 4 nonattacking queens on a 4 X n board. A61990

Number A(n,k) of permutations of [n] within distance k of a fixed permutation; square array A(n,k), n>=0, k>=0, read by antidiagonals. A306209

Number of subsets of {1..n} with all equal lengths of maximal anti-runs (increasing by more than 1). A384889

Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x. A63948

T(n,k)=number of distinct solutions of sum{i=1..k}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 1..n-1. A180793

Non-palindromic balanced numbers in base 16. A256080

Numbers k with the property that the average digit of k² is 2. A164770

Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1 <= k <= m positions can be picked in an m X m square grid such that the picked positions have a central symmetry. A291717