2239
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2240
- 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
- 2238
- Möbius Function
- -1
- Radical
- 2239
- 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
- 138
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 333
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Erdős-Selfridge function: a(n) is the least number m > n+1 such that the least prime factor of binomial(m, n) is > n.at n=12A003458
- Quadruples of different integers from [ 2,n ] with no global factor.at n=16A015627
- Number of 4's in all the partitions of n into distinct parts.at n=53A015739
- Number of partitions of n into distinct parts, none being 4.at n=50A015746
- Numbers n such that phi(n + 9) | sigma(n) for n not congruent to 0 (mod 3).at n=40A015849
- Numbers k such that the continued fraction for sqrt(k) has period 68.at n=2A020407
- n-th prime p(k) such that p(k) + p(k+6) = p(k+2) + p(k+4).at n=37A022891
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 5.at n=33A023243
- Primes that remain prime through 2 iterations of function f(x) = 5x + 2.at n=30A023252
- Primes that remain prime through 2 iterations of function f(x) = 9x + 10.at n=40A023268
- a(n) = prime(9*n).at n=36A031342
- a(n) = prime(8*n-3).at n=41A031389
- 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 47.at n=3A031545
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 26 ones.at n=14A031794
- Lucky numbers with size of gaps equal to 12 (lower terms).at n=25A031894
- Lucky numbers with size of gaps equal to 18 (upper terms).at n=14A031901
- a(n) = prime(10*n-7).at n=33A031917
- Primes of form x^2+30*y^2.at n=34A033220
- Primes of form x^2+46*y^2.at n=34A033231
- Primes of form x^2+62*y^2.at n=18A033240