9943
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10168
- Proper Divisor Sum (Aliquot Sum)
- 225
- 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
- 9720
- Möbius Function
- 1
- Radical
- 9943
- 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
- no
- Odd
- yes
Appears in sequences
- Number of partitions of n into parts not of the form 23k, 23k+10 or 23k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=33A035998
- Numbers n such that 103*2^n-1 is prime.at n=19A050577
- a(n) is the largest number such that all of a(n)'s length-n substrings are distinct and divisible by 61.at n=3A093261
- a(n) = smallest M such that M is not divisible by prime(1), ..., prime(n), but is divisible by Sum_{i=1..n} (M mod prime(i)); or 0 if no such M exists.at n=13A106572
- Products of two primes that are not Chen primes.at n=26A115719
- Semiprimes whose factors are decimal palindromes when concatenated, omitting multiples of primes less than 11.at n=27A144719
- Integers of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) obtains value zero exactly 7 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol.at n=13A166057
- 7^n mod 10000.at n=14A216130
- Trajectory of 80 under the map n-> A006369(n).at n=36A223084
- Expansion of (1 + x)/(1 - x^2 - 2*x^5).at n=33A237714
- Number of terms of A072873 less than or equal to 10^n.at n=34A267757
- Number of triples 0 <= i, j, k < n such that bitwise AND of i, j, k is 0.at n=24A269589
- Partial sums of A298033.at n=47A298034