3120
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 40
- Divisor Sum
- 10416
- Proper Divisor Sum (Aliquot Sum)
- 7296
- 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
- 390
- Omega Function (Ω)
- 7
- 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
- 123
- 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
- a(n) = (n+1)!/2 + (n-1)(n-1)!.at n=5A000780
- Double-bitters: only even length runs in binary expansion.at n=36A001196
- Theta series of unique 26-dimensional unimodular lattice T_26 with no roots (and minimal norm 3).at n=3A002433
- a(n) = A188491(n+1) - A188494(n) - A002526(n).at n=9A002528
- Glaisher's function V(n).at n=37A002611
- Coefficients in expansion of permanent of infinite tridiagonal matrix shown below.at n=56A003113
- Product of first n nonzero Fibonacci numbers F(1), ..., F(n).at n=7A003266
- Cubes written in base 4.at n=5A004634
- Number of n-step polygons on Kagome lattice.at n=10A005397
- High temperature series for spin-1/2 Heisenberg specific heat on 2D square lattice.at n=5A005402
- Smallest k such that phi(x) = k has exactly n solutions, n>=2.at n=44A007374
- Coordination sequence T4 for Zeolite Code EMT.at n=46A008089
- Coordination sequence T8 for Zeolite Code MFS.at n=35A008180
- Expansion of Jacobi theta constant theta_2^6 /(64q^(3/2)).at n=38A008440
- Coordination sequence for 4-dimensional primitive di-isohexagonal orthogonal lattice.at n=8A008530
- Number of partitions of n into at most 7 parts.at n=34A008636
- Coordination sequence T2 for Zeolite Code iRON.at n=39A009882
- Coordination sequence T3 for Zeolite Code iRON.at n=39A009883
- a(n) = floor( n*(n-1)*(n-2)/5 ).at n=26A011887
- a(n) = floor( n*(n-1)*(n-2)/19 ).at n=40A011901