Properties of the Number 6800

Six Thousand Eight Hundred

Basics

Value: 6799 → 6800 → 6801

Parity: even

Prime: No

Previous Prime: 6793

Next Prime: 6803

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 5 ² × 17

Divisors: 1, 2, 4, 5, 8, 10, 16, 17, 20, 25

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1101010010000

Octal: 15220

Duodecimal: 3B28

Hexadecimal: 1a90

Square: 46240000

Square Root: 82.46211251235322

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 n such that n = product (p_k)^c_k and set of its (c_k k's)'s is a self-conjugate partition, where p_k is k-th prime and c_k > 0. A88902

Number of sets (in the Hausdorff metric geometry) at each location between two sets defined by a complete bipartite graph K(3,n) (with n at least 2) missing one edge. A335608

a(n) = n*(n-1)*(n-2)*(n+3)/12. A117662

Generalized 23-gonal (or icositrigonal) numbers: m*(21·m - 19)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303303

a(n) = 17·n². A244630

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 nXk array. A219471

Number of 5's in all partitions of n. A24789

Triangle of coefficients of n!*(1 - x)ⁿ*L_n(x/(1 - x)), where L_n(x) is the Laguerre polynomial. A123202

Twice octagonal numbers: 2·n*(3·n-2). A139267

Number of times when an even number is encountered, when going from 2ⁿ⁺¹-1 to (2ⁿ)-1 using the iterative process described in A071542. A218542