2797
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
- 2
- Divisor Sum
- 2798
- 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
- 2796
- Möbius Function
- -1
- Radical
- 2797
- 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
- 66
- 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
- 407
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p of the form 3k+1 such that sum_{x=1..p} cos(2*Pi*x^3/p) < -sqrt(p).at n=38A000923
- Primes p such that (p+1)/2 is prime.at n=41A005383
- Primes of the form k^2 + k + 41.at n=48A005846
- From relations between Siegel theta series.at n=32A006476
- Where the prime race among 5k+1, ..., 5k+4 changes leader.at n=20A007353
- Coordination sequence T3 for Zeolite Code MOR.at n=34A008184
- Coordination sequence T1 for Zeolite Code ZON.at n=37A009919
- Sum of (Gaussian) q-binomial coefficients for q=-8.at n=4A015172
- Megaperfect numbers: numbers n where A019294(n) = min {m: n divides sigma^(m) (n)} increases to a record; sigma^(m) means apply the sum-of-divisors function m times.at n=25A019276
- Numbers k such that the continued fraction for sqrt(k) has period 25.at n=10A020364
- Initial members of prime triples (p, p+4, p+6).at n=31A022005
- Primes that remain prime through 2 iterations of function f(x) = 4x + 9.at n=46A023251
- Primes that remain prime through 2 iterations of function f(x) = 9x + 10.at n=48A023268
- Poincaré (or Molien) series for ring of Siegel modular forms of genus 3 (associated with full modular group Gamma_3).at n=36A027634
- Golc sequence in base 2. Left to right concatenation of n,int(log_2(n)),int(log_2(int(log_2(n)))),... in base 2.at n=42A028432
- a(n) = prime(10*n-3).at n=40A031391
- Lucky numbers with size of gaps equal to 10 (upper terms).at n=29A031893
- Lucky numbers with size of gaps equal to 18 (lower terms).at n=20A031900
- "AGK" (ordered, elements, unlabeled) transform of 2,1,1,1,...at n=16A032024
- Primes of form x^2+93*y^2.at n=46A033202