3705
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6720
- Proper Divisor Sum (Aliquot Sum)
- 3015
- 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
- 1728
- Möbius Function
- 1
- Radical
- 3705
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 162
- 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
- a(n) = 13*binomial(2n,n-6)/(n+7).at n=4A000590
- Numbers k such that phi(k) = phi(k+1).at n=14A001274
- a(n) = n*(n+5)*(n+6)*(n+7)/24.at n=13A005587
- Number of points on surface of tricapped prism: a(n) = 7*n^2 + 2 for n > 0, a(0)=1.at n=23A005919
- McKay-Thompson series of class 6C for Monster (and, apart from signs, of class 12A).at n=10A007256
- Coordination sequence T2 for Zeolite Code AFO.at n=40A008016
- Coordination sequence T1 for Zeolite Code CAS.at n=37A008063
- a(n) = floor(n*(n-1)*(n-2)/16).at n=40A011898
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=18A013592
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=6A013593
- Triangle of q-binomial coefficients for q=-8.at n=12A015118
- Gaussian binomial coefficient [ n,2 ] for q = -8.at n=2A015259
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VET = VPI-8 [Si17O34] starting with a T5 atom.at n=11A019251
- Pseudoprimes to base 77.at n=20A020205
- a(n) = n*(11*n - 1)/2.at n=26A022268
- a(n) = s(n+3)/4, where s is A024949.at n=11A024950
- 5 times triangular numbers: a(n) = 5*n*(n+1)/2.at n=38A028895
- Theta series of A2[hole]^4.at n=20A033690
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 5).at n=40A035552
- Odd numbers m such that there exists an even number k < m with phi(k) = phi(m).at n=35A036798