1200
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 3
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 3844
- Proper Divisor Sum (Aliquot Sum)
- 2644
- 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
- 320
- Möbius Function
- 0
- Radical
- 30
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 18
- 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
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of ways of writing n as a sum of 5 squares.at n=24A000132
- Number of n-input 2-output switching networks under action of complementing group C(2,n) on inputs and S(2) and C(2,2) on outputs.at n=2A000853
- Numbers k such that k / (sum of digits of k) is a square.at n=42A001102
- a(1)=0, a(2n) = a(n)+1, a(2n+1) = 10*a(n+1).at n=44A001202
- Lah numbers: a(n) = n!*binomial(n-1,2)/6.at n=5A001754
- a(n) = n! * C(n,2).at n=3A001804
- a(n) = n! * binomial(n,3).at n=2A001805
- Highly abundant numbers: numbers k such that sigma(k) > sigma(m) for all m < k.at n=45A002093
- Squares written in base 7.at n=20A002440
- Expansion of (1-x)^(-3) * (1-x^2)^(-2).at n=15A002624
- E.g.f. 1/(1 - sin(x) + sin(x)^2).at n=6A002969
- Number of labeled plane 2-trees with n nodes.at n=4A003092
- Values of phi(k) when phi(k) = phi(k+1).at n=11A003275
- a(n) = n*(n+1)*(n+2)^2/6.at n=8A004320
- Expansion of (Sum x^(n^2), n = -inf .. inf )^(-24).at n=2A004425
- High temperature series for spin-1/2 Heisenberg specific heat on 2D square lattice.at n=4A005402
- Number of Twopins positions.at n=15A005687
- Theta series of D_5 lattice.at n=12A005930
- Numbers not of form p + 2^x + 2^y.at n=22A006286
- Numbers k such that k^64 + 1 is prime.at n=13A006316