2730
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 8064
- Proper Divisor Sum (Aliquot Sum)
- 5334
- 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
- 576
- Möbius Function
- -1
- Radical
- 2730
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- 14
- 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
- yes
- Odd
- no
Appears in sequences
- From a fractal set of positive Lebesgue measure, a self-replicating tiling with holes, the 4-reptile following the 2-reptile of Paul Levy.at n=44A000361
- a(2n) = 2*a(2n-1), a(2n+1) = 2*a(2n)+1 (also a(n) is the n-th number without consecutive equal binary digits).at n=12A000975
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=38A001307
- Number of n-step self-avoiding walks on hexagonal [ =triangular ] lattice.at n=5A001334
- a(n) = (4*n+1)*(4*n+2)*(4*n+3).at n=3A001505
- Denominators of Bernoulli numbers B_{2n}.at n=12A002445
- Denominators of Bernoulli numbers B_{2n}.at n=6A002445
- Expansion of 1/((1-x)^3*(1-x^2)^2*(1-x^3)).at n=16A002625
- Generalized Lucas numbers.at n=10A006493
- Denominators of Bernoulli numbers B_0, B_1, B_2, B_4, B_6, ...at n=7A006954
- Denominators of Bernoulli numbers B_0, B_1, B_2, B_4, B_6, ...at n=13A006954
- a(n) = n*(n-1)*(n-2) (or n!/(n-3)!).at n=15A007531
- a(n) = n*(4*n+1).at n=26A007742
- Coordination sequence T2 for Zeolite Code FER.at n=32A008107
- Area of more than one Pythagorean triangle.at n=4A009127
- Coordination sequence T1 for Zeolite Code VSV.at n=33A009914
- Expansion of Product_{k>=1} (1 - x^k)^13.at n=12A010820
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/16).at n=16A011926
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 3.at n=35A013591
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=7A013592