2235
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3600
- Proper Divisor Sum (Aliquot Sum)
- 1365
- 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
- 1184
- Möbius Function
- -1
- Radical
- 2235
- 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
- 45
- 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
- Expansion of 1/((1-x)^3 (1-x^2)^2 (1-x^3) (1-x^4)).at n=14A002626
- Column of Motzkin triangle A026300.at n=6A005324
- a(n) = n*(5*n - 1)/2.at n=30A005476
- Coordination sequence T1 for Zeolite Code AFS.at n=36A008023
- Coordination sequence T1 for Zeolite Code BPH.at n=36A008055
- Coordination sequence T12 for Zeolite Code MFI.at n=30A008164
- Coordination sequence T1 for Zeolite Code DFO.at n=36A009875
- Integers that are squarefree and also the sum of first k squarefrees for some k.at n=31A013932
- Numbers k such that sigma(k) = sigma(k+7).at n=12A015867
- Every suffix prime and no 0 digits in base 8 (written in base 8).at n=52A024783
- Number of 5's in all partitions of n.at n=28A024789
- Motzkin triangle, T, read by rows; T(0,0) = T(1,0) = T(1,1) = 1; for n >= 2, T(n,0) = 1, T(n,k) = T(n-1,k-2) + T(n-1,k-1) + T(n-1,k) for k = 1,2,...,n-1 and T(n,n) = T(n-1,n-2) + T(n-1,n-1).at n=61A026300
- a(n) = T(2n,n+1), where T is the array in A026300.at n=5A026306
- Numbers k such that k*(k+8) is a palindrome.at n=14A028567
- 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 15.at n=18A031513
- Number of partitions in parts not of the form 11k, 11k+1 or 11k-1. Also number of partitions with no part of size 1 and differences between parts at distance 4 are greater than 1.at n=36A035944
- Number of partitions satisfying cn(0,5) <= cn(2,5) + cn(3,5).at n=26A039840
- a(n)=(s(n)+4)/8, where s(n)=n-th base 8 palindrome that starts with 4.at n=41A043068
- Numbers whose base-13 representation has exactly 4 runs.at n=23A043659
- Numbers k such that string 7,3 occurs in the base 8 representation of k but not of k-1.at n=38A044246