6835
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8208
- Proper Divisor Sum (Aliquot Sum)
- 1373
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5464
- Möbius Function
- 1
- Radical
- 6835
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- yes
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- 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.at n=36A024838
- dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5).at n=24A026063
- Multiplicity of highest weight (or singular) vectors associated with character chi_5 of Monster module.at n=45A034393
- A convolution triangle of numbers, generalizing Pascal's triangle A007318.at n=40A035324
- 5-fold convolution of A001700(n), n >= 0.at n=4A035330
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 6.at n=33A038637
- Numbers n > 9 such that x^n + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x +1 is irreducible over GF(2).at n=22A057487
- Numbers k such that sigma(k) - phi(k) is a cube.at n=31A062385
- Nearest integer to (Product(n^((1 + log(1 + i))/(1 + i^2)), {i, 1, n})).at n=45A062493
- Indices of records in A087666.at n=7A087663
- Least k >= 6 such that A087666(k) = n.at n=21A087710
- Number of all extensions over Q_2 with degree n in the algebraic closure of Q_2.at n=7A100976
- a(n) = 5*n^2 + 31*n + 1.at n=34A172193
- Partial sums of ceiling(Fibonacci(n)/11).at n=23A179053
- Semiprime centered triangular numbers.at n=27A184481
- Volume of the last section of the set of partitions of n from the shell model of partitions version "Boxes".at n=16A206440
- 20k^2-20k-5 interleaved with 20k^2+5 for k=>0.at n=38A216876
- Expansion of 1/(1 - x + x^2 - x^3 - x^6 - x^9 + x^10 - x^11 + x^12).at n=46A225499
- Number of length n+5 0..4 arrays with every six consecutive terms having the maximum of some two terms equal to the minimum of the remaining four terms.at n=0A250077
- 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.at n=6A250081