9933
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
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16896
- Proper Divisor Sum (Aliquot Sum)
- 6963
- 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
- 5040
- Möbius Function
- 1
- Radical
- 9933
- 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
- 42
- 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
- no
- Odd
- yes
Appears in sequences
- Denominators of expansion of sinh x / sin x.at n=42A006656
- Orders of non-cyclic simple groups (divided by 4).at n=24A008976
- a(n) = floor( n*(n-1)*(n-2)/8 ).at n=44A011890
- a(n) = floor(n^2/4)*(n/2).at n=43A034828
- Numbers that divide the sum of cubes of their divisors.at n=34A046763
- Row sums of triangle A046658.at n=6A046885
- a(n) = ceiling(n*(n+1)*(n+2)/8).at n=42A047866
- T(2n+3,n), array T as in A055216.at n=7A055219
- a(n) is both the sum of n+1 consecutive integers and the sum of the n immediately higher consecutive integers.at n=21A059270
- Number of divisors of n equals the average of distinct prime factors of n.at n=34A067547
- Numbers n such that both n^4 + 2 and n^4 - 2 are prime.at n=41A071351
- Let u(1) = u(2) = v(1) = v(2) = 1, u(n+2) = u(n)+v(n+1), v(n+2) = abs(u(n)-v(n+1)), then a(n) = u(n).at n=46A072515
- Numbers n such that mu(n) + mu(n+1) + mu(n+2) + mu(n+3) + mu(n+4) + mu(n+5) + mu(n+6) = 6.at n=8A082967
- a(n) = floor(C(n+6,6)/C(n+2,2)).at n=39A084626
- Triangle read by rows: T(n,k)=number of ordered trees with n edges and k branch nodes at odd height.at n=23A091958
- Berend Jan van der Zwaag's conjectured complete list of numbers that start different "expanding periodic loops" under the mapping described in A053392 and A060630.at n=6A103117
- a(n) = round(10000*log(n/10)).at n=26A104077
- Number of Dyck paths containing exactly one UUUD.at n=10A108863
- The (n,r)-th term of the following triangle is T(n)-T(r) for r = 0 to n. The n-th row contains n+1 terms. T(n) = the n-th triangular number = n(n+1)/2. Sequence contains the sum of terms at a 45-degree angle.at n=42A109900
- Denominator of sum of reciprocals of first n pentatope numbers A000332.at n=40A118412