4896
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 14742
- Proper Divisor Sum (Aliquot Sum)
- 9846
- 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
- 1536
- Möbius Function
- 0
- Radical
- 102
- Omega Function (Ω)
- 8
- 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
- 41
- 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
- Order of the group SL(2,Z_n).at n=16A000056
- Number of compositions of n into 4 ordered relatively prime parts.at n=30A000742
- a(n) = (5*n + 1)*(5*n + 2)*(5*n + 3).at n=3A001509
- Restricted permutations.at n=8A002777
- Number of key permutations of length n: permutations {a_i} with |a_i - a_{i-1}| = 1 or 2.at n=18A003274
- Expansion of 1 / (Sum_{n=-oo..oo} x^(n^2))^4.at n=6A004405
- Number of axially symmetric polyominoes with n cells.at n=15A006746
- a(n) = n*(n-1)*(n-2) (or n!/(n-3)!).at n=18A007531
- 9-gonal (or enneagonal) pyramidal numbers: a(n) = n*(n+1)*(7*n-4)/6.at n=16A007584
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/15).at n=18A011925
- a(n) = floor(n(n-1)(n-2)(n-3)/19).at n=19A011929
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=67A013583
- Number of segments (and sides) created by diagonals of an n-gon in general position.at n=14A014628
- Numbers n such that n is a substring of its square in base 6 (written in base 10).at n=28A018830
- Theta series of A*_17 lattice.at n=53A023929
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (composite numbers).at n=24A024588
- a(n) = dot_product(n,n-1,...2,1)*(5,6,...,n,1,2,3,4).at n=22A026060
- a(n+2) = 2*a(n+1) + 2*a(n); a(0) = -1, a(1) = 1.at n=11A028860
- 6-automorphic numbers: final digits of 6n^2 agree with n.at n=3A030989
- 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 33.at n=27A031531