2289
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3520
- Proper Divisor Sum (Aliquot Sum)
- 1231
- 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
- 1296
- Möbius Function
- -1
- Radical
- 2289
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 107
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of points of norm <= n^2 in square lattice.at n=27A000328
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=32A001276
- Expansion of (1+x^3)/((1-x)*(1-x^2)^2*(1-x^3)).at n=41A001973
- Number of atoms in a decahedron with n shells.at n=14A004068
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=29A004210
- Coordination sequence T5 for Zeolite Code AET.at n=33A008011
- Coordination sequence T1 for Zeolite Code AFI.at n=33A008014
- Coordination sequence T1 for Zeolite Code FAU.at n=40A008105
- Coordination sequence T1 for Zeolite Code MER.at n=35A008160
- Coordination sequence T5 for Zeolite Code PAU.at n=35A008223
- Coordination sequence T6 for Zeolite Code PAU.at n=35A008224
- Expansion of (1+x^9)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=54A008770
- Coordination sequence T3 for Zeolite Code -CLO.at n=42A009852
- Coordination sequence T1 for Zeolite Code -ROG.at n=36A009859
- a(n) = floor(n*(n-1)*(n-2)/13).at n=32A011895
- Numbers k such that phi(k + 11) | sigma(k).at n=46A015831
- Coordination sequence T8 for Zeolite Code TER.at n=32A016440
- Expansion of 1/(1 - x^5 - x^6).at n=75A017837
- Irreducible quadruple Euler sums of weight 2n+10 (verified for n <= 14).at n=48A019449
- Pseudoprimes to base 76.at n=36A020204