9538
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 5582
- 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
- 4500
- Möbius Function
- -1
- Radical
- 9538
- Omega Function (Ω)
- 3
- 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
- 78
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTN = ZSM-39 [Si136O272].qR starting with a T3 atom.at n=12A019183
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=36A020409
- Least m such that if r and s in {1/1, 1/3, 1/6,..., 1/C(n+1,2)} satisfy r < s, then r < k/m < s for some integer k.at n=36A024826
- 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 96.at n=18A031594
- Numbers m such that m^2 ends in 444.at n=38A039685
- Number of n-digit reversible primes (emirps).at n=5A048054
- Number of basis partitions of n+16 with Durfee square size 4.at n=44A053798
- Integers n > 1997 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 1997.at n=22A063055
- Centered 17-gonal numbers: (17*n^2 - 17*n + 2)/2.at n=33A069130
- a(n) = n * [1 + sum(k=1 to n-1) prime(k)].at n=19A083719
- Pseudo-random numbers: gcc 2.6.3 version for 32-bit integers.at n=17A084276
- Number of n-digit primes whose reversal is a different prime.at n=5A152014
- Indices of 4's in A090822.at n=42A157107
- a(n) = 289n + 1.at n=32A158255
- Multiples of 19 whose reversal + 1 is also a multiple of 19.at n=30A166392
- Convolved with its aerated variant = A000041.at n=47A174065
- G.f.: Product_{i>=1, j>=1, k>=1} (1 + x^(i*j*k)).at n=17A280473
- Number of irredundant sets in the n-cycle graph.at n=16A290493
- Sum of the sixth largest parts of the partitions of n into 10 squarefree parts.at n=53A326632
- a(n) is the number of overpartitions of n where overlined parts are not divisible by 3 and non-overlined parts are congruent to 2 modulo 3.at n=45A335755