2203
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2204
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 2202
- Möbius Function
- -1
- Radical
- 2203
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 50
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 328
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Mersenne exponents: primes p such that 2^p - 1 is prime. Then 2^p - 1 is called a Mersenne prime.at n=15A000043
- Primes with 5 as smallest primitive root.at n=47A001124
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/3.at n=27A001133
- Numbers k such that 13*2^k - 1 is prime.at n=6A001773
- Primes of the form 2^a + 3^b.at n=36A004051
- Primes written in base 4.at n=37A004678
- Primes of the form k^2 + k + 41.at n=43A005846
- a(n) = 3 + n/2 + 7*n^2/2.at n=25A006124
- Odd numbers not of form p + 2^k (de Polignac numbers).at n=48A006285
- Oscillates under partition transform.at n=40A007213
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=20A007354
- Coordination sequence T4 for Zeolite Code NES.at n=30A008208
- Coordination sequence T2 for Zeolite Code PHI.at n=34A008228
- Coordination sequence T4 for Zeolite Code -CLO.at n=41A009853
- a(n) is prime and sum of all primes <= a(n) is prime.at n=32A013917
- Next prime after 3^n.at n=7A014211
- Next prime after n^3.at n=13A014220
- Numbers k=3*m+1 such that 2^m == 1 (mod k).at n=54A016108
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=9A020385
- Smallest nonempty set S containing prime divisors of 6k+1 for each k in S.at n=24A020602