9393
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
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13056
- Proper Divisor Sum (Aliquot Sum)
- 3663
- 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
- 6000
- Möbius Function
- -1
- Radical
- 9393
- Omega Function (Ω)
- 3
- 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
- 109
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers whose base-5 representation contains exactly three 0's and three 3's.at n=0A045202
- Numbers whose consecutive digits differ by 6.at n=30A048408
- Consider all integer triples (i,j,k), j >= k > 0, with binomial(i+2,3) = j^3 + k^3, ordered by increasing i; sequence gives i values.at n=8A054205
- Numbers n such that phi(2n-1) = sigma(n).at n=33A067230
- Number of non-isomorphic positions reached for the first time in exactly n quarter-turns exactly on a 3 X 3 X 3 Rubik's Cube.at n=6A096310
- Number of ways 3/2 is a product of n superparticular ratios, without regard to order. A superparticular ratio is a ratio of the form m/(m-1).at n=4A118086
- Numbers k such that k and k^2 use only the digits 2, 3, 4, 8 and 9.at n=15A137077
- Second bisection of A061041: a(n) = A061041(2n+1) = (2*n+1)*(2*n+9).at n=46A145923
- Numbers n such that 4n+1 is a palindromic prime.at n=31A192261
- Number of n X 2 0..4 arrays with every 2 X 2 subblock containing exactly one value repeat, and new values 0..4 introduced in row major order.at n=4A209497
- Number of nX5 0..4 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..4 introduced in row major order.at n=1A209500
- T(n,k)=Number of nXk 0..4 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..4 introduced in row major order.at n=16A209503
- T(n,k)=Number of nXk 0..4 arrays with every 2X2 subblock containing exactly one value repeat, and new values 0..4 introduced in row major order.at n=19A209503
- Numbers n such that n^2 + 1 and (n+1)^2 + 1 are divisible by a square.at n=43A217798
- Sphenic numbers k = p*q*r such that reversal(k) is also a sphenic number and reversal(k) = reversal(p)*reversal(q)*reversal(r).at n=15A242726
- a(n) = sum of all divisors of all positive integers <= prime(n).at n=27A244583
- 3n concatenated with itself.at n=30A248038
- Numbers with digits 3 and 9 only.at n=24A284964
- Permuted compound filter: a(n) = A286458(A064216(n)).at n=56A286459
- Number of connected multiset partitions with multiset density -1, of strongly normal multisets of size n, with no singletons.at n=10A321255