6834
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14688
- Proper Divisor Sum (Aliquot Sum)
- 7854
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2112
- Möbius Function
- 1
- Radical
- 6834
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 57
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = n*(n-1) + (n-2)*(n-3) + ... + 1*0 + 1 for n odd; otherwise, a(n) = n*(n-1) + (n-2)*(n-3) + ... + 2*1.at n=33A014112
- Numbers having period-2 6-digitized sequences.at n=22A031357
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 82.at n=9A031580
- Shifts left under Euler transform.at n=23A038072
- Numbers having three 3's in base 9.at n=32A043467
- Numbers k such that k | sigma_11(k).at n=21A055715
- Integer part of (Product(n^((1 + log(1 + i))/(1 + i^2)), {i, 1, n})).at n=45A062492
- Numbers k such that k and its reversal are both multiples of 17.at n=23A062906
- Non-palindromic number and its reversal are both multiples of 17.at n=15A062915
- a(n) = floor(Pi^n mod n^Pi).at n=16A066434
- Numbers k such that A000984(k) mod k = 0 and A080383(k) != 7.at n=23A080392
- 3 times hexagonal numbers: a(n) = 3*n*(2*n-1).at n=34A094159
- a(n) is the minimal k such that 5^n +/- k are primes.at n=47A113540
- 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.at n=45A113744
- a(n) = Sum_{k=1..n} floor(n^2/k).at n=40A118014
- Binomial transform of A120070.at n=9A141595
- a(n) = 9*n^2 - 8*n + 2.at n=28A154254
- Numbers k such that 12*k - 5, 12*k - 1, 12*k + 1, and 12*k + 5 are primes.at n=32A174372
- Number of distinct values taken by 5th derivative of x^x^...^x (with n x's and parentheses inserted in all possible ways) at x=1.at n=17A199296
- Number of (w,x,y) with all terms in {0,...,n} and |w-x| < |x-y| < |y-w|.at n=35A212964