9993
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13328
- Proper Divisor Sum (Aliquot Sum)
- 3335
- 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
- 6660
- Möbius Function
- 1
- Radical
- 9993
- Omega Function (Ω)
- 2
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 73
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 k such that the continued fraction for sqrt(k) has period 94.at n=24A020433
- 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 66.at n=33A031564
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=38A031814
- Numbers having three 9's in base 10.at n=30A043527
- Numbers whose base-5 representation contains exactly three 3's and two 4's.at n=35A045306
- Number of partitions of n into at most 1 copy of 1, 2 copies of 2, 3 copies of 3, ... .at n=43A052335
- Number of points in Z^n of norm <= 2.at n=12A055426
- a(n) is the largest number which can be formed with no zeros, using least number of digits and having digit sum = n.at n=29A061219
- Harmonic mean of digits is 6.at n=22A062184
- Rounded total surface area of a regular dodecahedron with edge length n.at n=22A071397
- Cycle of the inventory sequence (as in A063850) starting with n consists of prime numbers.at n=34A078970
- a(1)=4, then least semiprime > a(n-1) such that when all in the sequence are concatenated together they form a prime.at n=29A085703
- A Chebyshev transform of the Padovan numbers.at n=33A100049
- Near-repdigit semiprimes with 9 as repeated digit.at n=25A105990
- Composite numbers between largest n-digit prime and the smallest (n+1) digit prime.at n=36A109936
- Numbers k such that k concatenated with itself gives the product of two numbers which differ by 8.at n=8A116161
- n times n+9 gives the concatenation of two numbers m and m-8.at n=5A116240
- Numbers k such that k * (k + 8) is the concatenation of a number m with itself.at n=8A116292
- Positions of highly powerful numbers in the EKG sequence.at n=18A141422
- Antidiagonal sums of A179748.at n=24A186425