Properties of the Number 6802

Six Thousand Eight Hundred Two

Basics

Value: 6801 → 6802 → 6803

Parity: even

Prime: No

Previous Prime: 6793

Next Prime: 6803

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 19 × 179

Divisors: 1, 2, 19, 38, 179, 358, 3401, 6802

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101010010010

Octal: 15222

Duodecimal: 3B2A

Hexadecimal: 1a92

Square: 46267204

Square Root: 82.47423840206105

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 partitions of n in which the least part is even. A26805

Row 3 of A007754. A58794

Union_{odd primes p, n >= 3} {T_p(n)}, where T_m(x) = x·T_m-1(x) - T_m-2(x), m >= 2, T₀(x) = 2, T₁(x) = x (dilated Chebyshev polynomials of the first kind). A299071

Numbers n such that every digit occurs at least once in n³. A119735

Table A(d,n) of the number of paths of a chess rook in a d-dimensional hypercube from (0...0) to (n...n) where the rook may move in steps that are multiples of (1,0..0), (0,1,0..0), ..., (0..0,1). A181731

a(n) = n³ - 3·n. A121670

Number of ways to move a chess rook from the lower left corner to square (n,n), with the rook moving only up or right. A51708

a(n) = prime(prime(A028815(n) - 1) - 1) - 1. A141136

Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 37, the first irregular prime. A92230

a(n) = ∑_d∣n min(d, n/d)⁵. A297795