The number 3705
3705 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 19. Divisors (16): 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3705: a Harshad number: divisible by its digit sum 15.
- 2
3705 is composite. Its prime factorisation is
- 3
The divisors add up to 6720; without 3705 itself that is 3015, so 3705 is deficient (3015 is less than 3705). Euler's totient φ(3705) = 1728 numbers up to 3705 share no factor with it.
- 4
The digits of 3705 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 162 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3705 = 3 \times 5 \times 13 \times 19 \]
3705 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6720 |
| Euler totient φ(n) | 1728 |
| Square | 13727025 |
| Cube | 50858627625 |
| Square root | 60.868711 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 162 |
| Scientific notation | 3.705 × |
3705 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and five |
| Roman numerals | MMMDCCV |
| Binary (base 2) | 111001111001 |
| Octal (base 8) | 7171 |
| Hexadecimal (base 16) | E79 |
| Base 3 | 12002020 |
| As time | 3705 seconds = 1 h 1 min 45 s |
Is 3705 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3705 ÷ 3 = 1235) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3705 ÷ 5 = 741) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3705 a prime number?
No. 3705 = 3 × 5 × 13 × 19, so it is divisible by 3.
What are the factors of 3705?
1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 195, 247, 285, 741, 1235, 3705.
What is 3705 in binary?
111001111001 (hexadecimal E79, octal 7171).
What is the square root of 3705?
About 60.8687.
What is 3705 in Roman numerals?
MMMDCCV.
Is 3705 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3705?
3705 is a Harshad number: divisible by its digit sum 15.