Properties of the Number 6801

Six Thousand Eight Hundred One

Basics

Value: 6800 → 6801 → 6802

Parity: odd

Prime: No

Previous Prime: 6793

Next Prime: 6803

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 2267

Divisors: 1, 3, 2267, 6801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010010001

Octal: 15221

Duodecimal: 3B29

Hexadecimal: 1a91

Square: 46253601

Square Root: 82.46817568007674

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) = n*(7·n² - 1)/6. A4126

Exponent of least power of 2 having n consecutive 0's in its decimal representation. A6889

G.f. A(x) = ∑_n=-oo..+oo xⁿ * (1 + xⁿ)^2·n. A260147

Number of integer partitions of n such that the dual of the multiset partition obtained by factoring each part into prime numbers is a (strict) antichain, also called T₁ integer partitions. A326977

Numbers k such that k⁴ can be written as a sum of four positive 4th powers with no common factor. A39664

a(n) is the number of integer lattice points inside the right triangle with legs 3n and 4n (and hypotenuse 5n). A126587

Number of integer partitions of n whose distinct parts have integer median. A360686

Sum of integers (with multiplicity) encountered on all possible paths from n to 1 when iterating with nondeterministic map k -> k- k/p, where p is any prime factor of k. A333000

Numbers that are the sum of six fourth powers in three or more ways. A345560

Numbers that are the sum of six fourth powers in exactly three ways. A345815