9966
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 21888
- Proper Divisor Sum (Aliquot Sum)
- 11922
- 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
- 3000
- Möbius Function
- 1
- Radical
- 9966
- 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
- 104
- 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
- Strobogrammatic numbers: the same upside down.at n=38A000787
- [ exp(15/22)*n! ].at n=6A030832
- Numerators of continued fraction convergents to sqrt(952).at n=6A042842
- Numbers with exactly 4 distinct palindromic prime factors.at n=20A046402
- 6th binomial transform of (1,0,1,0,1,.....), A059841.at n=5A081188
- Numbers which are either a divisor or a multiple of their 9's complement.at n=31A084020
- Largest n-digit member of A089699.at n=3A089701
- 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=11A103117
- Maximal troughs in decimal expansions of Pi: positions of troughs equal to 8.at n=16A105276
- Numbers that look the same when rotated by 180 degrees, using only digits 0, 6 and 9.at n=10A111065
- Numbers that look the same when printed upside down.at n=22A111156
- 4-almost primes with semiprime digits (digits 4, 6, 9 only).at n=19A111496
- Pyramidal 47-gonal numbers.at n=10A130566
- Numbers of the form x^5 + 10*x^3*y^2 + 5*x*y^4 (where x,y are integers).at n=20A135794
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (-1, 1, 1), (0, -1, -1), (1, 0, 0)}.at n=10A148224
- Array T(n,k) read by antidiagonals: T(n,k) = Sum_{v=1..n, v odd} binomial(n,v)*k^v.at n=50A169629
- Numbers that are the same upside down (using only digits 0, 1, 6 and 9).at n=22A169731
- Numbers m such that (6*m)^5 is a sum of a twin prime pair.at n=41A173560
- The number of functions f:{1,2,...,n}->{1,2,...,n} such that the number of elements that are mapped to m is divisible by m.at n=9A178682
- Integers of the form: 0/3 + 1/3 + 2/3 + 3/3 + 5/3 + 7/3 + 11/3 + 13/3 + 17/3 + ....at n=40A182155