2297
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2298
- 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
- 2296
- Möbius Function
- -1
- Radical
- 2297
- 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
- 58
- 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
- 342
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Generalized sum of divisors function.at n=37A002130
- Numbers k such that 9*2^k + 1 is prime.at n=25A002256
- Primes of the form k^2 + k + 41.at n=44A005846
- Number of factorization patterns of polynomials of degree n over F_2.at n=19A006167
- Coordination sequence T5 for Zeolite Code EUO.at n=30A008100
- Crystal ball sequence for planar net 4.8.8.at n=41A008577
- If a, b in sequence, so is ab+7.at n=23A009312
- Coordination sequence T3 for Zeolite Code -ROG.at n=36A009861
- a(n) is prime and sum of all primes <= a(n) is prime.at n=36A013917
- Numbers k such that the continued fraction for sqrt(k) has period 35.at n=4A020374
- Discriminants of quintic fields with 4 complex conjugates.at n=4A023685
- a(n) = least m such that if r and s in {1/1, 1/4, 1/7,..., 1/(3n-2)} satisfy r < s, then r < k/m < s for some integer k.at n=32A024822
- a(n) = Sum_{k=1..n} (n-k) * floor(n/k).at n=28A024920
- Expansion of 1/((1-x)^2(1-x^2)(1-x^3)(1-x^5)) in powers of x.at n=30A028291
- a(n) = n^2 - 7.at n=45A028881
- Primes of the form k^2 - 7.at n=6A028883
- Primes p such that digits of p appear in p^2 and p^3.at n=17A030085
- a(n) = prime(9*n).at n=37A031342
- a(n) = prime(8*n - 2).at n=42A031382
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 4.at n=16A031417