2976
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 8064
- Proper Divisor Sum (Aliquot Sum)
- 5088
- 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
- 186
- 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
- 22
- 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 asymmetrical planar partitions of n: planar partitions (A000219) that when regarded as 3-D objects have no symmetry.at n=16A000785
- Related to representation as sums of squares.at n=38A002292
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=30A003451
- Centered pentagonal numbers: (5n^2+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net.at n=34A005891
- a(n) = f(a(n-1)), with f(m) = Sum i*b(i)*2^(i-1), m = Sum b(i)*2^i, and starting value 16.at n=5A007824
- Coordination sequence T1 for Zeolite Code AFY.at n=45A008029
- Coordination sequence T6 for Zeolite Code BOG.at n=39A008054
- Coordination sequence T1 for Cordierite.at n=33A008251
- Number of 2n-step 2-dimensional closed self-avoiding paths on square lattice.at n=5A010566
- a(n) = floor( n*(n-1)*(n-2)/10 ).at n=32A011892
- a(n) = floor( n*(n-1)*(n-2)/11 ).at n=33A011893
- Pseudoprimes to base 97.at n=44A020225
- Expansion of (theta_3(z)*theta_3(15z) + theta_2(z)*theta_2(15z))^4.at n=14A028628
- 6 times triangular numbers: a(n) = 3*n*(n+1).at n=31A028896
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 27.at n=14A031525
- Every run of digits of n in base 11 has length 2.at n=25A033009
- Numbers whose base-11 expansion has no run of digits with length < 2.at n=37A033024
- Coordination sequence T1 for Zeolite Code SBS.at n=43A033608
- Trajectory of 3 under map n->25n+1 if n odd, n->n/2 if n even.at n=7A037110
- Number of partitions satisfying cn(0,5) <= cn(1,5) + cn(2,5) and cn(0,5) <= cn(4,5) + cn(2,5) and cn(0,5) <= cn(1,5) + cn(3,5) and cn(0,5) <= cn(4,5) + cn(3,5).at n=28A039843