2970
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
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 5670
- 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
- 720
- Möbius Function
- 0
- Radical
- 330
- Omega Function (Ω)
- 6
- 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
- yes
Recreational
- Happy Number
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 48
- Smith Number
- yes
- 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
- Harmonic or Ore numbers: numbers k such that the harmonic mean of the divisors of k is an integer.at n=8A001599
- Generalized divisor function. Number of partitions of n with exactly three part sizes.at n=34A002134
- a(n) = floor(n(n+2)(2n+1)/8).at n=22A002717
- a(n) = 2*n*(2*n+1).at n=27A002943
- Degrees of irreducible representations of alternating group A_12.at n=32A003867
- Degrees of irreducible representations of symmetric group S_12.at n=59A003876
- Degrees of irreducible representations of symmetric group S_12.at n=58A003876
- a(n) = (3^n/n!) * Product_{k=0..n-1} (3*k + 2).at n=4A004988
- Number of tree-rooted planar maps with 3 faces and n vertices and no isthmuses.at n=7A006470
- Numbers whose divisors' harmonic and arithmetic means are both integers.at n=6A007340
- Coordination sequence T2 for Zeolite Code MEL.at n=35A008151
- Coordination sequence T7 for Zeolite Code MTT.at n=34A008195
- Coordination sequence T5 for Zeolite Code NON.at n=33A008216
- Triangle of Lehmer-Comtet numbers of the first kind.at n=62A008296
- Coordination sequence for A_5 lattice.at n=4A008385
- Theta series of A_5 lattice.at n=24A008445
- Coordination sequence for 4-dimensional I-centered cubic orthogonal lattice.at n=9A008532
- Coordination sequence for FeS2-Pyrite, Fe position.at n=25A009957
- Minimal number of people to give a 50% probability of having at least n coincident birthdays in one year.at n=17A014088
- Numbers n such that phi(n) | sigma_7(n).at n=57A015765