3348
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 8960
- Proper Divisor Sum (Aliquot Sum)
- 5612
- 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
- 1080
- Möbius Function
- 0
- Radical
- 186
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 43
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of q^(-1/4) * (eta(q^4) / eta(q))^2 in powers of q.at n=16A001936
- Coordination sequence T1 for Zeolite Code MAZ.at n=40A008144
- Coordination sequence T3 for Zeolite Code NON.at n=35A008214
- Coordination sequence for Paracelsian.at n=39A008260
- a(n) = n*(7*n - 1)/2.at n=31A022264
- Long leg of more than one primitive Pythagorean triangle.at n=26A024410
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = (primes).at n=17A025088
- a(n) = floor(Sum_{1<=i<j<=n} (sqrt(j)-sqrt(i))^2).at n=38A025196
- Sequence satisfies T^2(a)=a, where T is defined below.at n=47A027591
- Coordination sequence T2 for Zeolite Code CFI.at n=38A033600
- Number of partitions of n into parts not of the form 15k, 15k+7 or 15k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=30A035961
- Multiples of 4 that are the difference of two positive cubes.at n=40A038849
- Divisible by 3 (and 9) and are differences between two cubes in at least one way.at n=34A038851
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=12A038852
- Numbers ending with '8' that are the difference of two positive cubes.at n=15A038863
- Number of partitions satisfying cn(0,5) + cn(1,5) < cn(2,5) + cn(3,5) and cn(0,5) + cn(4,5) < cn(2,5) + cn(3,5).at n=32A039884
- Numbers k such that the string 3,0 occurs in the base 9 representation of k but not of k-1.at n=46A044278
- Numbers k such that the string 5,3 occurs in the base 9 representation of k but not of k-1.at n=45A044299
- Numbers n such that string 4,8 occurs in the base 10 representation of n but not of n-1.at n=36A044380
- Numbers n such that string 4,8 occurs in the base 10 representation of n but not of n+1.at n=36A044761