3603
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4808
- Proper Divisor Sum (Aliquot Sum)
- 1205
- 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
- 2400
- Möbius Function
- 1
- Radical
- 3603
- 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
- 162
- 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
- a(n) = 3 + n/2 + 7*n^2/2.at n=32A006124
- Coordination sequence T2 for Zeolite Code -PAR.at n=43A009856
- Coordination sequence for FeS2-Pyrite, S position.at n=29A009956
- a(n) = floor( n*(n-1)*(n-2)/27 ).at n=47A011909
- From George Gilbert's marks problem: jumping 4 marks at a time (initial positions).at n=15A019595
- T(n, 2*n-3), T given by A027960.at n=25A027965
- 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 40.at n=13A031538
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 40.at n=2A031718
- Coordination sequence T2 for Zeolite Code SBT.at n=48A033613
- Coordination sequence T3 for Zeolite Code STF.at n=40A038442
- Coordination sequence T1 for Zeolite Code STF.at n=40A038443
- Number of partitions satisfying cn(2,5) <= cn(0,5) + cn(1,5) + cn(4,5) and cn(3,5) <= cn(0,5) + cn(1,5) + cn(4,5).at n=28A039871
- Number of partitions satisfying cn(0,5) + cn(1,5) + cn(4,5) <= cn(2,5) + cn(3,5).at n=32A039878
- Numbers k such that the string 0,3 occurs in the base 10 representation of k but not of k-1.at n=38A044335
- Numbers having, in base 15, (sum of even run lengths)=(sum of odd run lengths).at n=30A044886
- Nonprime numbers n such that n and n-reversed (<>n and no leading zeros) have the same number of prime factors and these prime factors (palindromes allowed here) are also reversals of each other.at n=42A050702
- a(n+1) is smallest number with a(n+1)^n > a(n)^(n+1).at n=18A059923
- C(n+3)=2*C(n), where C(n) is Cototient(n) := n - phi(n) (A051953).at n=24A063480
- a(n) = (n^3 + 6n^2 - n + 12)/6.at n=26A074742
- a(1) = 1, then the smallest number such that there are a(n) composite numbers between a(n) and a(n+1) both excluded.at n=9A082280