2269
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2270
- 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
- 2268
- Möbius Function
- -1
- Radical
- 2269
- 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
- 63
- 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
- 337
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Expansion of 1/((1+x)(1-x)^8).at n=7A001779
- Cuban primes: primes which are the difference of two consecutive cubes.at n=14A002407
- Hex (or centered hexagonal) numbers: 3*n*(n+1)+1 (crystal ball sequence for hexagonal lattice).at n=27A003215
- Class 4+ primes (for definition see A005105).at n=39A005108
- Coordination sequence T1 for Zeolite Code AEI.at n=36A008001
- Coordination sequence for FeS2-Pyrite, S position.at n=22A009956
- a(n+2) = 3*a(n) - a(n-2) with a(0) = 1, a(1) = 3, a(2) = 6.at n=12A018186
- Numbers k such that the continued fraction for sqrt(k) has period 29.at n=6A020368
- Primes that remain prime through 2 iterations of the function f(x) = 2x + 9.at n=41A023245
- Primes that remain prime through 2 iterations of the function f(x) = 5x + 8.at n=25A023255
- Primes that remain prime through 2 iterations of function f(x) = 7x + 6.at n=29A023259
- Primes that remain prime through 3 iterations of function f(x) = 5x + 8.at n=7A023286
- Primes that remain prime through 4 iterations of function f(x) = 5x + 8.at n=3A023316
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.at n=29A024809
- a(n) = least m such that if r and s in {1/3, 1/6, 1/9,..., 1/3n} satisfy r < s, then r < k/m < s for some integer k.at n=31A024824
- Number of nodes of even outdegree (including leaves) in all ordered trees with n edges.at n=7A026641
- a(n) = A026637(n, floor(n/2)).at n=13A026643
- Primes which when concatenated with next 3 primes are also prime.at n=25A030472
- a(n) = prime(10*n-3).at n=33A031391
- a(n) = prime(9*n - 5).at n=37A031909