4828
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9072
- Proper Divisor Sum (Aliquot Sum)
- 4244
- 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
- 2240
- Möbius Function
- 0
- Radical
- 2414
- Omega Function (Ω)
- 4
- 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
- 72
- 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=17A000785
- Numbers that are the sum of 5 positive 6th powers.at n=26A003361
- Quadrinomial coefficients: C(2+n,n) + C(3+n,n) + C(4+n,n).at n=15A005718
- Coordination sequence T2 for Zeolite Code NAT.at n=47A008204
- Coordination sequence T4 for Zeolite Code NON.at n=42A008215
- Coordination sequence T2 for Milarite.at n=43A008257
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3).at n=33A024312
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor( n/2 ), s = natural numbers >= 3.at n=32A024875
- Numbers whose sum of reciprocals of digits is the reciprocal of an integer.at n=48A037264
- Sum of reciprocals of digits = 1.at n=30A037268
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(17)).at n=48A052479
- Open 3-dimensional ball numbers (version 2): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2,0,0).at n=21A053594
- Engel expansion of 1/e = 0.367879... .at n=34A059193
- Harmonic mean of digits is 4.at n=32A062182
- a(n) = Sum_{d|n} sigma(d)^2.at n=23A065018
- a(1) = 1, a(n+1) is the sum of a(n) and floor( arithmetic mean of a(1) ... a(n) ).at n=32A065094
- Number of partitions of n into Lucas parts (A000032).at n=48A067593
- Expansion of (1-x)^(-1)/(1+x+x^2-2*x^3).at n=20A077907
- Maximal number of segments (equivalently, corners) in a rook circuit of a 2n X 2n board.at n=35A085622
- Indices k where A057176(k) = 2.at n=13A086809