Properties of the Number 6835

Six Thousand Eight Hundred Thirty-Five

Basics

Value: 6834 → 6835 → 6836

Parity: odd

Prime: No

Previous Prime: 6833

Next Prime: 6841

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 1367

Divisors: 1, 5, 1367, 6835

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010110011

Octal: 15263

Duodecimal: 3B57

Hexadecimal: 1ab3

Square: 46717225

Square Root: 82.67405880927826

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

Expansion of 1/(1 - x + x² - x³ - x⁶ - x⁹ + x¹⁰ - x¹¹ + x¹²). A225499

A convolution triangle of numbers, generalizing Pascal's triangle A007318. A35324

T(n,k)=Number of length n+5 0..k arrays with every six consecutive terms having the maximum of some two terms equal to the minimum of the remaining four terms. A250081

Number of all extensions over Q₂ with degree n in the algebraic closure of Q₂. A100976

20k²-20k-5 interleaved with 20k²+5 for k=>0. A216876

Indices of records in A087666. A87663

Least m such that if r and s in {1/3, 1/6, 1/9, ..., 1/3n} satisfy r < s, then r < k/m < (k+1)/m < s for some integer k. A24838

Volume of the last section of the set of partitions of n from the shell model of partitions version "Boxes". A206440

dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5). A26063

a(n) = greatest k such that A155043(k+A262509(n)) < A155043(A262509(n)). A262909