3033
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4394
- Proper Divisor Sum (Aliquot Sum)
- 1361
- 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
- 2016
- Möbius Function
- 0
- Radical
- 1011
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 22
- 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
- a(n) = n + n*(n-1)*(n-2)*(n-3).at n=9A001094
- Divisors of 2^42 - 1.at n=24A003547
- Coordination sequence T4 for Zeolite Code VNI.at n=34A009910
- Coordination sequence T2 for Zeolite Code VSV.at n=35A009915
- a(n) = ( a(n-1)*a(n-7) + a(n-4)^2 ) / a(n-8); a(0) = ... = a(7) = 1.at n=19A018896
- Coordination sequence T1 for Zeolite Code SAO.at n=43A019571
- Numbers k such that the continued fraction for sqrt(k) has period 34.at n=35A020373
- n written in fractional base 6/3.at n=33A024636
- Coordination sequence T4 for Zeolite Code MWW.at n=36A024989
- Concatenation of n and n + 3.at n=29A032608
- a(n) = [ Gamma(sqrt(n)) ].at n=59A033295
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+9 or 20k-9. Also number of partitions in which no odd part is repeated, with at most 4 parts of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=39A036028
- Composite numbers whose prime factors contain no digits other than 3 and 7.at n=39A036316
- a(n) = T(0,n) + T(1,n-1) + ... + T(n,0), array T given by A048471.at n=7A036550
- Sums of 5 distinct powers of 3.at n=45A038467
- Numbers having three 3's in base 10.at n=3A043503
- Numbers n such that string 3,3 occurs in the base 10 representation of n but not of n-1.at n=30A044365
- Numbers n such that string 3,3 occurs in the base 10 representation of n but not of n+1.at n=30A044746
- Concatenation of n in base 2 up to base 10 is prime, all numbers are interpreted as decimals.at n=31A054256
- Numbers m such that 2^m reversed is prime.at n=21A057708