2237
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2238
- 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
- 2236
- Möbius Function
- -1
- Radical
- 2237
- 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
- 89
- 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
- 332
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- A generalized Fibonacci sequence.at n=44A001584
- Mixed partitions of n.at n=25A002096
- a(n) = n^3 + 3*n + 1.at n=13A005491
- a(n) = n OR n^2 (applied to ternary expansions).at n=46A008467
- Coefficients in expansion of sqrt(2) as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.at n=49A011193
- a(n) is prime and sum of all primes <= a(n) is prime.at n=34A013917
- Primes whose digits are primes; primes having only {2, 3, 5, 7} as digits.at n=23A019546
- Numbers k such that the continued fraction for sqrt(k) has period 37.at n=4A020376
- Initial members of prime triples (p, p+2, p+6).at n=25A022004
- Place where n-th 1 occurs in A023117.at n=44A022779
- n-th prime p(k) such that p(k) + p(k+6) = p(k+2) + p(k+4).at n=36A022891
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 7.at n=32A023244
- Primes that remain prime through 2 iterations of function f(x) = 9x + 10.at n=39A023268
- Primes that remain prime through 3 iterations of function f(x) = 9x + 10.at n=12A023299
- Number of partitions of n into distinct parts >= 4.at n=62A025149
- a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0).at n=20A026044
- Number of partitions of n into distinct parts, the least being 3.at n=65A026824
- Primes that are palindromic in base 14.at n=24A029981
- Primes p whose digits do not appear in p^2.at n=37A030086
- a(n) = prime(9n-1).at n=36A031375