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Properties of the Number 6834

Six Thousand Eight Hundred Thirty-Four

Basics

Value: 6833 → 6834 → 6835

Parity: even

Prime: No

Previous Prime: 6833

Next Prime: 6841

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 17 × 67

Divisors: 1, 2, 3, 6, 17, 34, 51, 67, 102, 134

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1101010110010

Octal: 15262

Duodecimal: 3B56

Hexadecimal: 1ab2

Square: 46703556

Square Root: 82.66801074176153

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

3 times hexagonal numbers: a(n) = 3·n*(2·n-1). A94159
a(n) = 1·2 + 3·4 + 5·6 + 7·8 + 9·10 + 11·12 + 13·14 + ... + (up to n). A228958
Number of (w,x,y) with all terms in {0,...,n} and |w-x| < |x-y| < |y-w|. A212964
Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 7 multiples of n-1, n-2, ..., 1, for n>=1. A113744
T(n,k)=Number of length-n 0..k arrays with no repeated value unequal to the previous repeated value plus one mod k+1. A268944
a(n) is the smallest number which can be represented as the sum of 4 distinct positive n-th powers in exactly 2 ways, or -1 if no such number exists. A374424
Number of distinct values taken by 5th derivative of xx^...x (with n x's and parentheses inserted in all possible ways) at x=1. A199296
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 5 6 or 7. A252423
Numbers that are the sum of 4 nonzero 4th powers in more than one way. A309763
a(n) = 2·1 + 4·3 + 6·5 + 8·7 + 10·9 + 12·11 + ... + (up to the n-th term). A319866