6864
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 20832
- Proper Divisor Sum (Aliquot Sum)
- 13968
- 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
- 1920
- Möbius Function
- 0
- Radical
- 858
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 106
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=49A001307
- Expansion of 1/((1+x)*(1-x)^5).at n=21A001752
- Degrees of irreducible representations of alternating group A_13.at n=37A003868
- Degrees of irreducible representations of symmetric group S_13.at n=67A003877
- Degrees of irreducible representations of symmetric group S_13.at n=68A003877
- Number of unrooted triangulations with reflection symmetry of a disk with one internal node and n+3 nodes on the boundary.at n=15A005508
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=32A014088
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite CON = CIT-1 H2[B2Si54O112] starting with a T3 atom.at n=12A019099
- Expansion of (1-4*x)^(15/2).at n=15A020927
- Number of solutions to c(1)*prime(3)+...+c(n)*prime(n+2) = 2, where c(i) = +-1 for i>1, c(1) = 1.at n=21A022902
- Distinct elements in the even-Pascal triangle A028326.at n=47A028328
- Twice central binomial coefficients.at n=7A028329
- Numbers whose base-5 representation contains exactly two 2's and three 4's.at n=22A045288
- First numerator and then denominator of the central elements of the 1/4-Pascal triangle (by row).at n=16A046572
- First denominator and then numerator of the central elements of the 1/4-Pascal triangle (by row).at n=17A046573
- Distinct numbers in writing first numerator and then denominator of the central elements of the 1/4-Pascal triangle (by row).at n=9A046574
- Distinct even numbers in writing first numerator and then denominator of each element of the 1/4-Pascal triangle (by row).at n=8A046589
- a(n) = Sum_{j=0..n} A047072(j, n-j).at n=15A047073
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-1)/2.at n=23A047181
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-2)/2.at n=23A047192