9549
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
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13806
- Proper Divisor Sum (Aliquot Sum)
- 4257
- 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
- 6360
- Möbius Function
- 0
- Radical
- 3183
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 104
- 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
- The number of superpositions of cycles of order n of the groups E_3 and D_n.at n=4A003224
- a(n) = ceiling(n*phi^15), where phi is the golden ratio, A001622.at n=7A004970
- Oscillates under partition transform.at n=46A007211
- a(n) = floor( Sum_{1 <= i < j <= n} ((sqrt(j)-sqrt(i))^3) ).at n=37A025197
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 52 ones.at n=22A031820
- Numbers k such that 225*2^k+1 is prime.at n=35A032489
- A036827/2.at n=6A036828
- Numbers n such that 159*2^n-1 is prime.at n=21A050831
- Binomial transform of generalized tetranacci numbers A073817: a(n)=Sum((-1)^k Binomial(n,k)*A073817(k),(k=0,..,n)).at n=16A075128
- Interprimes which are of the form s*prime, s=9.at n=28A075284
- First occurrence of n in the modified Juggler sequence.at n=26A095909
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=23A117807
- Start with 1027 and repeatedly reverse the digits and add 16 to get the next term.at n=5A119455
- Number of partitions of n into {number of partitions of n into "number of partitions of n into 'number of partitions of n into partition numbers' numbers" numbers} numbers.at n=46A130900
- Triangle of coefficients of the polynomials x^(n - 1)*A(n,x + 1/x), where A(n,x) are the Eulerian polynomials of A008292.at n=42A143505
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, -1, 1), (0, 1, 0), (1, -1, -1)}.at n=11A148030
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (0, 0, 1), (0, 1, 0), (1, 1, -1)}.at n=8A149951
- Constant term of the reduction by x^2->x+1 of the polynomial p(n,x) defined at Comments.at n=12A193008
- The 180-degree spoke (or ray) of a hexagonal spiral of Ulam.at n=28A244806
- Number of n X 2 binary arrays with rows and columns lexicographically nondecreasing and column sums nonincreasing.at n=48A266464