4066
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6480
- Proper Divisor Sum (Aliquot Sum)
- 2414
- 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
- 1908
- Möbius Function
- -1
- Radical
- 4066
- Omega Function (Ω)
- 3
- 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
- 113
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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) = 3 + n/2 + 7*n^2/2.at n=34A006124
- a(n) = 1 + n/2 + 9*n^2/2.at n=30A006137
- 'Eban' numbers (the letter 'e' is banned!).at n=58A006933
- Coordination sequence T3 for Zeolite Code AFO.at n=42A008017
- Numbers k such that the continued fraction for sqrt(k) has period 50.at n=18A020389
- Number of paths from (0,0) to (3n,0) that stay in first quadrant (but may touch horizontal axis) and where each step is (2,1), (1,2) or (1,-1).at n=5A027307
- Numbers having period-4 6-digitized sequences.at n=15A031197
- 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 62.at n=16A031560
- Numbers whose set of base-15 digits is {1,3}.at n=18A032922
- Coordination sequence T5 for Zeolite Code SFF.at n=42A038436
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(0,5) + cn(2,5) + cn(3,5).at n=31A039866
- Starting positions of strings of 2 6's in the decimal expansion of Pi.at n=36A050245
- Number of points in N^n of norm <= 2.at n=18A055417
- Numbers k such that 5*2^k + 3 is prime.at n=39A058586
- Triangle read by rows of numbers of paths in a lattice satisfying certain conditions.at n=20A071949
- Numbers n such that sum k/d(k) is an integer, where d(k) is the k-th divisor of n (the divisors of n are in decreasing order).at n=5A073083
- Length of list created by n substitutions k -> Range[-abs(k+1), abs(k-1), 2] starting with {0}.at n=9A084078
- The number of possible values of the squarefree kernel (A007947) shared by at least two solutions x to A056239(x) = n.at n=40A088318
- Sums of antidiagonals of A099239.at n=9A099241
- Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1), U=(1,2), or d=(1,-1) and having height of the first peak equal to k.at n=30A108437