9788
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 32
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 17136
- Proper Divisor Sum (Aliquot Sum)
- 7348
- 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
- 4892
- Möbius Function
- 0
- Radical
- 4894
- Omega Function (Ω)
- 3
- 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
- 135
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTW = ZSM-12 Nan[AlnSi28-nO56] starting with a T3 atom.at n=12A019197
- Numbers k such that the continued fraction for sqrt(k) has period 80.at n=31A020419
- Convolution of natural numbers with (1, p(1), p(2), ... ), where p(k) is the k-th prime.at n=26A023538
- From substitutional generation of Kolakoski sequence (A000002).at n=21A042942
- Normalized extreme values for "3x+1" trees of depth n.at n=29A045476
- Sum of digits = 8 times number of digits.at n=38A061425
- Coefficients of a power series whose convolution consists of only the even-indexed terms of the sequence.at n=40A073707
- Coefficients of a power series whose convolution consists of only the even-indexed terms of the sequence.at n=41A073707
- Generating function A(x) satisfies A(x) = (1+x)^2*A(x^2)^2, with A(0)=1.at n=20A073708
- Numbers n such that n*359# +-1 are twin primes, where 359# = 72nd primorial (A002110(72)).at n=7A087907
- Number of primes of the form 30k + 19 less than 10^n.at n=5A091170
- Number of partitions of n which contain their signature as a subpartition.at n=34A118052
- 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, 1), (-1, 0, 0), (0, -1, 1), (0, 1, -1), (1, 1, 0)}.at n=8A149275
- Sequence whose G.f is given by: 1/(1-z)/(1-2*z)^2/(1-z-z^2).at n=8A173031
- Number of rooted planar binary unlabeled trees with n leaves and caterpillar index <= 4.at n=11A214200
- Number of length 3 1..(n+2) arrays with no leading or trailing partial sum equal to a prime and no consecutive values equal.at n=33A254220
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 5", based on the 5-celled von Neumann neighborhood.at n=23A270008
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 5", based on the 5-celled von Neumann neighborhood.at n=24A270008
- Alternating sum of centered octagonal pyramidal numbers.at n=24A270695
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 259", based on the 5-celled von Neumann neighborhood.at n=49A271054