Properties of the Number 6804

Six Thousand Eight Hundred Four

Basics

Value: 6803 → 6804 → 6805

Parity: even

Prime: No

Previous Prime: 6803

Next Prime: 6823

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁵ × 7

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1101010010100

Octal: 15224

Duodecimal: 3B30

Hexadecimal: 1a94

Square: 46294416

Square Root: 82.48636250920512

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

A(n,k) is the n-th derivative of f_k at x=1, and f_k is the k-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways; square array A(n,k), n>=0, k>=1, read by antidiagonals. A215703

Triangle read by rows: T(n,k) = number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to k. A180281

Number of mixed Husimi trees with n nodes; or polygonal cacti with bridges. A83

Triangle T(n,k), n>=1, 0<=k<=n-1, read by rows: T(n,k)/(n-1)! is the coefficient of x^k in polynomial p_n for the n-th row sequence of A145153. A145142

a(n) = n³*∏_{distinct primes p dividing n} (1+1/p³). A65959

Self-convolution of array T given by A026626. A26961

n-th derivative of (x^x)^x at x=1. A215524

Number of compositions (ordered partitions) of n into tetrahedral (or triangular pyramidal) numbers (A000292). A282582

Sums of two powers of 3. A55235

Numbers which divided by the sum of their digits (Harshad or Niven numbers) give integers which are also divisible by the sum of their digits (until a single-digit Harshad remains). A114440