Properties of the Number 6893

Six Thousand Eight Hundred Ninety-Three

Basics

Value: 6892 → 6893 → 6894

Parity: odd

Prime: No

Previous Prime: 6883

Next Prime: 6899

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 61 × 113

Divisors: 1, 61, 113, 6893

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101011101101

Octal: 15355

Duodecimal: 3BA5

Hexadecimal: 1aed

Square: 47513449

Square Root: 83.02409288875127

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) = 4*(n+1)*n + 5. A78370

Number of length n inversion sequences avoiding the patterns 100, 110, 120, and 210. A279567

Number of integer partitions of n whose distinct parts have integer mean. A360241

a(n) = ∑_k=1..n (lcm(n,n-1,...,n-k+2,n-k+1)/lcm(1,2,...,k)). A93431

Poincaré series for invariant polynomial functions on the space of binary forms of degree 7. A293933

E.g.f.: ∏_n>=1 B(xⁿ) where B(x) = exp(exp(x)-1) = e.g.f. of Bell numbers. A209903

Numbers of the form (4k+3)²+4 or (4k+5)²-8. A214393

Number of 7 X 7 binary matrices with n=0..49 ones up to row and column permutations. A53304

Number of positive words of length n in the monoid Br₇ of positive braids on 8 strands. A97554

T(n,k)=Number of nXk arrays of occupancy after each element moves to some horizontal, diagonal or antidiagonal neighbor, without 2-loops. A221351