9938
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 14910
- Proper Divisor Sum (Aliquot Sum)
- 4972
- 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
- 4968
- Möbius Function
- 1
- Radical
- 9938
- 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
- 73
- Smith Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Population of "Triangle" cellular automaton at n-th generation.at n=43A018189
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 8.at n=15A031421
- Numerators of continued fraction convergents to sqrt(633).at n=7A042214
- Floor(n^3/8).at n=43A081276
- Indices of primes in sequence defined by A(0) = 19, A(n) = 10*A(n-1) - 31 for n > 0.at n=18A102021
- Number of non-intersecting cycle systems in a particular directed graph.at n=7A112831
- Number of permutations of length n which avoid the patterns 3421, 4123, 4312; or avoid the patterns 2341, 3142, 3214.at n=8A116837
- Numbers whose trajectory under the Esucarys map ends at the fixed point 247.at n=12A129133
- a(n) = A000043(n) - 3.at n=20A139480
- a(n) = -a(n-1) + 3*a(n-2), starting a(1)=1, a(2)=2.at n=13A140165
- Number of four-prime Carmichael numbers less than 10^n.at n=15A174612
- Coefficient of x in the reduction by x^2->x+1 of the polynomial p(n,x) defined below in Comments.at n=16A192761
- Number of nX2 0..2 arrays with every 1 immediately preceded by 0 to the left or above, no 0 immediately preceded by a 0, and every 2 immediately preceded by 0 1 to the left or above.at n=18A203175
- a(n) = floor((n + 1/2)^3).at n=21A219085
- a(n) = floor(M(g(n-1)+1, ..., g(n))), where M = harmonic mean and g(n) = n^3.at n=21A227012
- Numbers n such that the decimal expansions of both n and n^2 have 3 as the digit with the smallest value and 9 as the digit with the largest value.at n=12A238553
- Number of cyclic arrangements of S={1,2,...,n} such that the difference of any two neighbors is a divisor of their sum.at n=14A242531
- Number of partitions of n whose minimal excluded multiplicity is odd.at n=37A300183
- Number of separable partitions of n in which the number of distinct (repeatable) parts <= 4.at n=41A325713
- Number of factorizations of 2^n into factors > 1 with even integer average.at n=45A326671