9684
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 24570
- Proper Divisor Sum (Aliquot Sum)
- 14886
- 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
- 3216
- Möbius Function
- 0
- Radical
- 1614
- Omega Function (Ω)
- 5
- 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
- 21
- Smith Number
- yes
- 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
- Convolution of A000203 with itself.at n=26A000385
- Fourth column (m=3) of triangle A060063 divided by 9.at n=1A091744
- Number of partitions of n into as many primes as nonprimes.at n=48A155515
- a(n) is the maximal positive integer m for which exponents of prime(n) and prime(n+1) in the prime power factorization of m! are both powers of 2.at n=32A177498
- Number of right triangles on a (n+1)X7 grid.at n=10A189811
- Augmentation of the triangle given by p(n,k)=(3+(-1)^k)/2 for 0<=k<=n. See Comments.at n=33A193631
- Numbers a = b + c where a, b, and c contain the same decimal digits.at n=23A203024
- E.g.f. A(x) satisfies: exp(A(x)) = x + exp(2*A(x)^2), with A(0) = 0.at n=4A206402
- Where record values occur in A227617.at n=13A227633
- Number of self-inverse permutations p on [n] where the maximal displacement of an element equals 2.at n=15A238913
- Number of length n+2 0..6 arrays with no three consecutive terms having the sum of any two elements equal to twice the third.at n=2A248459
- T(n,k)=Number of length n+2 0..k arrays with no three consecutive terms having the sum of any two elements equal to twice the third.at n=30A248461
- Number of length 3+2 0..n arrays with no three consecutive terms having the sum of any two elements equal to twice the third.at n=5A248464
- Number of length-n 0..3 arrays with no repeated value unequal to the previous repeated value plus one mod 3+1.at n=6A268939
- T(n,k)=Number of length-n 0..k arrays with no repeated value unequal to the previous repeated value plus one mod k+1.at n=42A268944
- Number of length-7 0..n arrays with no repeated value unequal to the previous repeated value plus one mod n+1.at n=2A268948
- 37-gonal numbers: a(n) = n*(35*n-33)/2.at n=24A282852
- Smallest number k such that exactly half the numbers in [1..k] are prime(n)-smooth.at n=41A290154
- Number of integer partitions of n where no part is 2^k times any other part, for any k > 0.at n=47A323093
- Number of ways to write n as an ordered sum of 9 squares of positive integers.at n=51A340946