2904
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 7980
- Proper Divisor Sum (Aliquot Sum)
- 5076
- 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
- 880
- Möbius Function
- 0
- Radical
- 66
- Omega Function (Ω)
- 6
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- Cluster series for honeycomb.at n=14A003204
- Number of walks on square lattice.at n=7A005565
- Site percolation series for hexagonal lattice.at n=11A006739
- Coordination sequence T3 for Zeolite Code CON.at n=38A009870
- Coordination sequence T5 for Zeolite Code CON.at n=38A009872
- Coordination sequence for NiAs(1), As position.at n=22A009943
- Number of singular 2 X 2 matrices over Z(n) (i.e., with determinant = 0).at n=11A020478
- Theta series of A*_11 lattice.at n=35A023923
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = (composite numbers).at n=18A024461
- a(n) = Sum_{k=1..n} k*floor( prime(k)/k ).at n=40A024927
- (d(n)-r(n))/5, where d = A026066 and r is the periodic sequence with fundamental period (0,3,1,0,1).at n=32A026068
- Numbers k such that the continued fraction for sqrt(k) has even period 2*m and the m-th term of the periodic part is 7.at n=37A031410
- Concentric hexagonal numbers: floor(3*n^2/2).at n=44A032528
- Every run of digits of n in base 11 has length 2.at n=20A033009
- Numbers whose base-11 expansion has no run of digits with length < 2.at n=31A033024
- a(n) = 6*n^2.at n=22A033581
- Number of partitions of n such that cn(1,5) < cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5).at n=76A036859
- Triangle whose (i,j)-th entry is binomial(i,j)*2^(i-j)*11^j.at n=12A038217
- Triangle whose (i,j)-th entry is binomial(i,j)*8^(i-j)*11^j.at n=8A038289
- Triangle whose (i,j)-th entry is binomial(i,j)*11^(i-j)*2^j.at n=12A038316