3035
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3648
- Proper Divisor Sum (Aliquot Sum)
- 613
- 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
- 2424
- Möbius Function
- 1
- Radical
- 3035
- 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
- 154
- 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
- Maximal sum of inverse squares of the singular values of triangular anti-Hadamard matrices of order n.at n=9A005313
- Coordination sequence T1 for Zeolite Code AFI.at n=38A008014
- Coordination sequence T12 for Zeolite Code MFI.at n=35A008164
- If a, b in sequence, so is ab+7.at n=28A009312
- Coordination sequence T3 for Zeolite Code DFO.at n=42A009877
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite EUO = EU-1 Nan[AlnSi112-nO224] starting with a T1 atom.at n=11A019127
- From George Gilbert's marks problem: jumping 3 marks at a time (initial positions).at n=6A019593
- n written in fractional base 6/3.at n=35A024636
- 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 11.at n=26A031509
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 11.at n=4A031689
- Concatenation of n and n + 5 or {n,n+5}.at n=29A032610
- Number of different products of partitions of n; number of partitions of n into prime parts (1 included); number of distinct orders of Abelian subgroups of symmetric group S_n.at n=41A034891
- Number of partitions of n into parts not of the form 25k, 25k+8 or 25k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=27A036007
- Number of partitions of n such that cn(3,5) < cn(0,5) = cn(1,5) < cn(2,5) = cn(4,5).at n=76A036877
- Denominators of continued fraction convergents to sqrt(385).at n=14A041731
- a(n)=(s(n)+5)/9, where s(n)=n-th base 9 palindrome that starts with 4.at n=33A043075
- Numbers k such that string 3,3 occurs in the base 8 representation of k but not of k-1.at n=47A044214
- Numbers n such that string 3,5 occurs in the base 10 representation of n but not of n-1.at n=33A044367
- Numbers n such that string 3,5 occurs in the base 10 representation of n but not of n+1.at n=33A044748
- Discriminants of imaginary quadratic fields with class number 18 (negated).at n=22A046015