2288
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
- 20
- Divisor Sum
- 5208
- Proper Divisor Sum (Aliquot Sum)
- 2920
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 960
- Möbius Function
- 0
- Radical
- 286
- Omega Function (Ω)
- 6
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 107
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Number of Boolean functions of n variables.at n=3A000133
- Define predecessors of n, P(n), to consist of numbers whose binary representation is obtained from that of n by replacing 10 with 01 or changing a final 1 to a 0; then a(0)=1, a(n) = Sum a(P(n)), n>0.at n=47A004065
- Number of exterior points formed by extending diagonals of n-gon in general position.at n=10A005701
- Largest number not the sum of distinct n-th-order polygonal numbers.at n=13A007419
- Number of domino tilings of a certain region.at n=3A007762
- Coordination sequence T4 for Zeolite Code NON.at n=29A008215
- Coordination sequence T8 for Zeolite Code PAU.at n=35A008226
- Numbers n such that phi(n) * sigma(n) + 16 is a perfect square.at n=40A015729
- Numbers k such that sigma(k) = sigma(k+12).at n=22A015882
- a(n) is the concatenation of n and 4n.at n=21A019552
- Theta series of D*_13 lattice.at n=12A022066
- a(n) = n*(27*n + 1)/2.at n=13A022285
- Convolution of A001950 with itself.at n=11A023667
- Numbers that are the sum of 4 distinct nonzero squares in exactly 6 ways.at n=50A025381
- Numbers that are the sum of 4 distinct positive cubes in exactly 2 ways.at n=29A025409
- Numbers that are the sum of 4 distinct positive cubes in 2 or more ways.at n=31A025412
- Sequence satisfies T^2(a)=a, where T is defined below.at n=39A027588
- Sequence satisfies T^2(a)=a, where T is defined below.at n=34A027593
- a(n) = n*(n+8).at n=44A028566
- Even numbers in the (2,3)-Pascal triangle A029600.at n=57A029605