2916
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 21
- Divisor Sum
- 7651
- Proper Divisor Sum (Aliquot Sum)
- 4735
- 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
- 972
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- yes
- 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
- 35
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = 2*3^n*(2*n)!/(n!*(n+2)!).at n=5A000168
- a(n) is smallest number > a(n-1) of form a(i)*a(j), i < j < n.at n=34A000423
- Number of inequivalent ways to color vertices of a cube using at most n colors.at n=4A000543
- Squares that are not the sum of 2 nonzero squares.at n=32A000548
- a(n) = max{(n - i)*a(i) : i < n}; a(0) = 1.at n=22A000792
- Numbers that are the sum of 4 positive 6th powers.at n=14A003360
- 3-smooth numbers: numbers of the form 2^i*3^j with i, j >= 0.at n=51A003586
- Expansion of (1+x)/(1-3*x).at n=7A003946
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=34A004855
- Number of 3-voter voting schemes with n linearly ranked choices.at n=15A007009
- McKay-Thompson series of class 9A for Monster.at n=7A007266
- Numbers k such that phi(k) divides k.at n=44A007694
- a(n) = Product_{i=0..6} floor((n+i)/7).at n=22A009641
- a(n) = Product_{i=0..7} floor((n+i)/8).at n=22A009694
- Coordination sequence T2 for Zeolite Code -CLO.at n=48A009851
- Triangle of coefficients in expansion of (1+9x)^n.at n=13A013616
- Triangle of coefficients in expansion of (2+3x)^n.at n=26A013620
- Floor((e/2)^n).at n=26A014213
- Numbers n such that tau(sigma(n))= tau(tau(n)).at n=18A015730
- Even squares: a(n) = (2*n)^2.at n=27A016742