6664
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
- 24
- Divisor Sum
- 15390
- Proper Divisor Sum (Aliquot Sum)
- 8726
- 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
- 2688
- Möbius Function
- 0
- Radical
- 238
- Omega Function (Ω)
- 6
- 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
- 31
- 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
- Boustrophedon transform of all-1's sequence.at n=8A000667
- Number of binary phylogenetic trees with n labels.at n=5A006681
- Expansion of 1/((1-2x)(1-4x)(1-8x)(1-12x)).at n=3A025979
- a(n) = dot_product(1,2,...,n)*(4,5,...,n,1,2,3).at n=24A026040
- a(n) = 49*(n-1)*(n-2)/2.at n=15A027469
- Numbers k such that if d,e are consecutive digits of k in base 6, then |d-e| >= 4.at n=39A032988
- Number of partitions of n into parts not of the form 13k, 13k+6 or 13k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=35A035954
- Number of ternary rooted trees with n nodes and height at most 8.at n=13A036376
- Numbers having three 6's in base 10.at n=22A043515
- Numbers whose base-9 representation has exactly 5 runs.at n=11A043634
- Numbers whose base-4 representation contains exactly three 0's and three 2's.at n=27A045055
- Beastly (or hateful) numbers: numbers containing the string 666 in their decimal expansion.at n=10A051003
- Periodic points under the map A053392 that adds consecutive pairs of digits and concatenates them.at n=19A053393
- Numbers n such that sopf(phi(n)) = phi(sopf(n)), where sopf(x) = sum of the distinct prime factors of x.at n=23A076531
- 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=25A078868
- Even numbers such that all a(i) + a(j) are distinct.at n=44A080432
- Sum of first n 7-almost primes.at n=12A086059
- Radius of inscribed circle within primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse.at n=32A089551
- Numbers n such that every digit of both n and n^2 contains a loop (only digits 0,4,6,8,9 in n and n^2).at n=12A107626
- 6-almost primes with semiprime digits (digits 4, 6, 9 only).at n=4A111730