6633
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10608
- Proper Divisor Sum (Aliquot Sum)
- 3975
- 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
- 3960
- Möbius Function
- 0
- Radical
- 2211
- 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
- 75
- 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
- no
- Odd
- yes
Appears in sequences
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=43A027662
- Sum of reciprocals of digits = 1.at n=39A037268
- Denominators of continued fraction convergents to sqrt(787).at n=8A042517
- Numbers having three 0's in base 9.at n=23A043455
- Numbers with more than one factorization into S-primes. See A054520 and A057948 for definition.at n=41A057949
- Numbers primitive with respect to having more than one factorization into S-primes. See related sequences for definition.at n=34A057950
- Harmonic mean of digits is 4.at n=41A062182
- Number of difference sets of subsets of {1,2,...,n}, i.e., the size of {D(A) : A subset [n] }, where D(A)={a_i-a_j : a_i>a_j and a_i,a_j in A}.at n=18A067247
- Smallest nontrivial multiple of n ending in n. By nontrivial one means a(n) is not equal to n or concatenation of n with itself.at n=32A083466
- Triangle read by rows: T(n,k) = number of Dyck paths of semilength n having k peaks at odd height.at n=67A091867
- a(n) = (n+1)(n+2)(n+3)(9n^2 + 26n + 20)/120.at n=8A110159
- Absolute value of coefficient of term [x^(n-4)] in characteristic polynomial of maximum matrix A of size n X n, where n >= 4. Maximum matrix A(i,j) is MAX(i,j), where indices i and j run from 1 to n.at n=5A112460
- Numbers k such that k^4 contains a pandigital substring.at n=14A115934
- a(0)=1, a(1)=1, a(n) = 9*a(n/2) for even n >= 2, and a(n) = 8*a((n-1)/2) + a((n+1)/2) for odd n >= 3.at n=18A116526
- Numbers for which the sum of the digits is the square root of the product of their digits.at n=18A117720
- Numbers k such that k and k^2 use only the digits 3, 4, 6, 8 and 9.at n=10A137129
- Row sums from A144562.at n=17A144640
- Positive integers of the form (2*m^2+1)/11.at n=34A179088
- The sum of the elements within a jump in a Sieve of Eratosthenes table.at n=18A179545
- a(n) is the sum of the smallest parts of all partitions of n that do not contain 1 as a part.at n=34A182708