4200
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
- 48
- Divisor Sum
- 14880
- Proper Divisor Sum (Aliquot Sum)
- 10680
- 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
- 960
- Möbius Function
- 0
- Radical
- 210
- 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
- 33
- 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
- 9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.at n=35A001106
- Lah numbers: a(n) = n! * binomial(n-1, 3)/4!.at n=3A001755
- a(n) = Fibonacci(n) + n.at n=19A002062
- Pentagonal pyramidal numbers: a(n) = n^2*(n+1)/2.at n=20A002411
- 4-dimensional pyramidal numbers: a(n) = n^2*(n^2-1)/12.at n=15A002415
- Low temperature series for spin-1/2 Ising antiferromagnetic susceptibility for 3-dimensional simple cubic lattice.at n=10A002915
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=34A003451
- a(n) = n*(n + 1)*(n^2 - 3*n + 6)/8.at n=13A004255
- a(n) = (n-1)*(n+1)!/6.at n=5A005990
- Smallest k such that phi(x) = k has exactly n solutions, n>=2.at n=34A007374
- 11-gonal (or hendecagonal) pyramidal numbers: a(n) = n*(n+1)*(3*n-2)/2.at n=14A007586
- Some permutation of digits is a factorial number.at n=41A007926
- Some nontrivial permutation of digits is a factorial number.at n=35A007927
- Coordination sequence T3 for Zeolite Code DOH.at n=40A008080
- Coordination sequence T7 for Zeolite Code MFI.at n=41A008170
- Number of 2n-step self-avoiding closed paths on the 6-dimensional cubic lattice.at n=2A010570
- a(n) = floor( n*(n-1)*(n-2)/28 ).at n=50A011910
- Expansion of e.g.f. arcsinh(tanh(x) * exp(x)).at n=7A012661
- a(n) = Sum_{m=1..n} Sum_{k=1..m} prime(k).at n=19A014148
- Smallest k such that phi(x) = k has exactly n solutions, n>=0 with Carmichael conjecture.at n=36A014573