4666
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7002
- Proper Divisor Sum (Aliquot Sum)
- 2336
- 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
- 2332
- Möbius Function
- 1
- Radical
- 4666
- 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
- Number of corners, or planar partitions of n with only one row and one column.at n=17A006330
- Coordination sequence T5 for Zeolite Code DDR.at n=43A008075
- Number of ordered triples of integers from [ 1,n ] with no common factors between pairs.at n=45A015632
- Numbers k such that the continued fraction for sqrt(k) has period 65.at n=3A020404
- Numbers whose set of base-6 digits is {3,4}.at n=31A032830
- Multiplicity of highest weight (or singular) vectors associated with character chi_163 of Monster module.at n=38A034551
- Number of partitions of n such that cn(3,5) <= cn(0,5) = cn(1,5) <= cn(2,5) = cn(4,5).at n=67A036865
- Numbers whose maximal base-6 run length is 4.at n=31A037987
- Numbers having four 3's in base 6.at n=15A043384
- Numbers having three 6's in base 10.at n=4A043515
- Beastly (or hateful) numbers: numbers containing the string 666 in their decimal expansion.at n=4A051003
- McKay-Thompson series of class 18C for the Monster group.at n=36A058533
- McKay-Thompson series of class 36A for Monster.at n=36A058644
- Define C(n) by the recursion C(0) = 5*i where i^2 = -1, C(n+1) = 1/(1 + C(n)), then a(n) = 5*(-1)^n/Im(C(n)) where Im(z) denotes the imaginary part of z.at n=7A069962
- Trajectory of n under the Reverse and Add! operation carried out in base 2 does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=26A075252
- Decimal concatenations of the quadruples (d1,d2,d3,d4) with elements in {2,4,6} for which there exists a prime p >= 5 such that the differences between the 5 consecutive primes starting with p are (d1,d2,d3,d4).at n=13A078868
- Row sums of triangle A084408.at n=21A084411
- Right-truncatable semiprimes.at n=39A085733
- a(n) = smallest k such that the base-2 Reverse and Add! trajectory of A075252(n) joins the trajectory of k.at n=26A092211
- Smallest number which requires n iterations to reach a prime when iterating x + sum of squares of digits of x.at n=44A094658