9078
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 19440
- Proper Divisor Sum (Aliquot Sum)
- 10362
- 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
- 2816
- Möbius Function
- 1
- Radical
- 9078
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 184
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 94.at n=19A031592
- Sums of 3 distinct powers of 6.at n=17A038479
- a(n) = 2*A040027(n-1) + Bell(n), where Bell = A000110.at n=8A038559
- Numbers k such that the digits of k^3 occur with the same frequency.at n=53A052047
- Numbers k such that k^3 is a cube whose digits occur with an equal minimum frequency of 2.at n=12A052051
- Number of positive integers <= 2^n of form x^2 + 9 y^2.at n=16A054153
- Term at which last number of height n occurs in Recamán's sequence A005132.at n=13A064294
- Numbers k such that k*prime(k) -+ 1 are twin primes.at n=33A085637
- Numbers k such that k*(k+2) gives the concatenation of two numbers m and m-2.at n=1A116273
- a(n) = 3abc, where (a,b,c) is a Markoff triple. The first Markoff triple considered is (1,2,5) and the ordering is increasing.at n=4A120339
- Triangle read by rows: T(n,k) is the number of nondecreasing Dyck paths of semilength n, having k distinct valley levels (n>=1, k>=0).at n=52A121463
- Number of 2 X 2 singular integer matrices with elements from {1,...,n}.at n=46A134506
- a(n) = n*(8*n-5).at n=34A139272
- Number of ways to place 2 queens on an n X n chessboard so that they attack each other.at n=17A144945
- a(n) = n*(14*n + 13) + 3.at n=25A195029
- Smallest positive multiple of n whose base-6 representation contains only 0's and 1's.at n=33A244957
- Number of (n+2) X (4+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 0 3 5 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 0 3 5 6 or 7.at n=18A252250
- G.f.: 1/((1-t^10)*(1-t)*(1-t^3)*(1-t^5)*(1-t^7)*(1-t^9)*(1-t^11)*(1-t^13)*(1-t^15)*(1-t^17)*(1-t^19)).at n=58A266750
- Numbers n that have an equal number of even and odd values of A001221(k) for 1 <= k <= n.at n=36A275547
- a(n) = n!*LaguerreL(n, -6*n).at n=3A277420