3360
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
- 48
- Divisor Sum
- 12096
- Proper Divisor Sum (Aliquot Sum)
- 8736
- 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
- 768
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 4
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
- 43
- 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 labeled rooted trees of height 3 with n nodes.at n=2A000552
- Number of degree-n irreducible polynomials over GF(7); dimensions of free Lie algebras.at n=5A001693
- Coefficient of H_2 when expressing x^{2n} in terms of Hermite polynomials H_m.at n=3A001814
- Coefficients of x^n in Hermite polynomial H_{n+4}.at n=3A001816
- a(n) = 2^n*C(n+6,6). Number of 6D hypercubes in an (n+6)-dimensional hypercube.at n=4A002409
- Number of 2 X 2 matrices with entries mod n and nonzero determinant.at n=7A005353
- a(n) = (3*n+4)*(n+3)!/24.at n=4A005460
- Number of triangle-free trivalent (or cubic) graphs with 2n labeled nodes.at n=4A006903
- State assignments for n-state machine.at n=4A007041
- Number of labeled trivalent (or cubic) cyclically 4-connected graphs with 2n nodes.at n=2A007101
- Erroneous version of A006903.at n=4A007103
- Smallest k such that sigma(x) = k has exactly n solutions.at n=24A007368
- a(n) = n*(n-1)*(n-2) (or n!/(n-3)!).at n=16A007531
- Coordination sequence T3 for Zeolite Code MEP.at n=34A008159
- Theta series of A_5 lattice.at n=22A008445
- Theta series of A_5 lattice.at n=30A008445
- Theta series of A_7 lattice.at n=5A008447
- Theta series of direct sum of f.c.c. and b.c.c. lattices.at n=39A008664
- Area of more than one Pythagorean triangle.at n=5A009127
- "Pascal sweep" for k=7: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).at n=62A009504