6880
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16632
- Proper Divisor Sum (Aliquot Sum)
- 9752
- 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
- 2688
- Möbius Function
- 0
- Radical
- 430
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 3
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
- 106
- Smith Number
- yes
- Vampire Number
- yes
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
- Number of outcomes of unlabeled n-team round-robin tournaments.at n=8A000568
- Vampire numbers (definition 2): numbers n with an even number of digits which have a factorization n = i*j where i and j have the same number of digits and the multiset of the digits of n coincides with the multiset of the digits of i and j.at n=6A014575
- Vampire numbers: (definition 1): n has a nontrivial factorization using n's digits.at n=14A020342
- Numbers k such that k^2 is palindromic in base 7.at n=36A029992
- 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 41.at n=24A031539
- Numbers k such that if d,e are consecutive digits of k in base 6, then |d-e| >= 4.at n=42A032988
- Number of binary [ n,4 ] codes of dimension <= 4 without zero columns.at n=14A034338
- Coefficients of the '3rd-order' mock theta function omega(q).at n=44A053253
- Numbers k such that sopf(k) = d(k) where d(k) = A001223(k) and sopf(k) = A008472(k).at n=22A064010
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an isosceles integer triangle with integer area.at n=17A070145
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an acute integer triangle with integer area.at n=18A070146
- Expansion of 1/(1-2*x+2*x^2+2*x^3).at n=15A077945
- a(0) = 1, a(n) = 20*sigma[3](n).at n=7A091983
- a(0)=1; a(n) = sigma_1(n) + sigma_3(n).at n=19A092345
- Number of plasma partitions of 2n-1.at n=46A095913
- If a(n-1)=abcde..., where a,b,c,d,e... are the digits, then a(n)=abcde...+a*bcde...+ab*cde...+abc*de...+abcd*e...+....at n=8A108721
- Triangle read by rows: number of atomic set compositions of size n and length k (see description in A095989) 1 <= k <= n.at n=24A109062
- Numbers k such that (2*k)!/(2*(k!)^2)+1 is prime.at n=35A112863
- Number of opposition perfect graphs on n nodes.at n=7A123437
- a(n) = A000010(n) * A002088(n).at n=32A143231