4442
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6666
- Proper Divisor Sum (Aliquot Sum)
- 2224
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2220
- Möbius Function
- 1
- Radical
- 4442
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 33
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- a(n) = Sum_{k=0..n} f(k)*f(n-k) where f(k) = A002124(k).at n=31A002125
- a(n) = A259095(2n,n).at n=18A005575
- Coordination sequence T1 for Zeolite Code MTT.at n=41A008189
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite CLO = Cloverite starting with a T2 atom.at n=5A019002
- Numbers k such that the continued fraction for sqrt(k) has period 25.at n=17A020364
- Coordination sequence for root lattice B_3.at n=15A022145
- a(n) = [ a(n-1)/(sqrt(6) - 2) ], where a(0) = 1.at n=11A024557
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 4.at n=35A031417
- Composite numbers k such that the digits of the prime factors of k are either 1 or 2.at n=33A036302
- Coordination sequence T7 for Zeolite Code SFF.at n=44A038431
- Numbers having three 4's in base 10.at n=14A043507
- Numbers whose base-4 representation contains exactly four 1's and two 2's.at n=15A045107
- Triangle T(n,k) = number of polyhedra (triconnected planar graphs) with n faces and k vertices, where (n/2+2) <= k <= (2n+8).at n=34A058787
- Triangle T(n,k) = number of polyhedra (triconnected planar graphs) with n edges and k vertices (or k faces), where (n/3+2) <= k <= (2n/3). Note that there is no such k when n=7.at n=50A058788
- Triangle T(n,k) = number of polyhedra (triconnected planar graphs) with n edges and k vertices (or k faces), where (n/3+2) <= k <= (2n/3). Note that there is no such k when n=7.at n=46A058788
- Number of connected loopless multigraphs with n edges.at n=9A076864
- Expansion of Molien series for a certain 4-D group of order 48.at n=42A078411
- Number of intersections between a sphere inscribed in a cube and the n X n X n cubes resulting from a cubic lattice subdivision of the enclosing cube.at n=29A085690
- Number of configurations of the 4 X 3 variant of Sam Loyd's sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners.at n=13A090166
- Numbers n such that sum of divisors of these numbers gives a decimal repdigit.at n=14A096841