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Properties of the Number 6838

Six Thousand Eight Hundred Thirty-Eight

Basics

Value: 6837 → 6838 → 6839

Parity: even

Prime: No

Previous Prime: 6833

Next Prime: 6841

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 × 13 × 263

Divisors: 1, 2, 13, 26, 263, 526, 3419, 6838

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101010110110

Octal: 15266

Duodecimal: 3B5A

Hexadecimal: 1ab6

Square: 46758244

Square Root: 82.6922003577121

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) = minimal positive k such that the concatenation of the decimal digits of n,n+1,...,n+k is divisible by n+k+1, or -1 if no such k exists. A332580
T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s. A297654
Number of configurations of the 5 X 2 variant of Sam Loyd's sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A90036
Sum of positive ranks of all overpartitions of n. A236001
Numbers that are the sum of eight fourth powers in five or more ways. A345580
Numbers that are the sum of eight fourth powers in exactly five ways. A345837
Expansion of ∏k>=1 (1 - xk/(1 + x)). A307601
G.f. satisfies A(x) = exp( ∑k>=1 (3k + A(xk)) * xk/k ). A363541
Numbers k such that A057775(k) is the factor of a Fermat number 22m + 1 for some m. A201364
Maximum starting value of X such that repeated replacement of X with X-ceiling(X/8) requires n steps to reach 0. A279078