The number 3706
3706 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 109. Divisors (8): 1, 2, 17, 34, 109, 218, 1853, 3706.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3706: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3706 is composite. Its prime factorisation is
- 3
The divisors add up to 5940; without 3706 itself that is 2234, so 3706 is deficient (2234 is less than 3706). Euler's totient φ(3706) = 1728 numbers up to 3706 share no factor with it.
- 4
The digits of 3706 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3706 = 2 \times 17 \times 109 \]
3706 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5940 |
| Euler totient φ(n) | 1728 |
| Square | 13734436 |
| Cube | 50899819816 |
| Square root | 60.876925 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.706 × |
3706 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and six |
| Roman numerals | MMMDCCVI |
| Binary (base 2) | 111001111010 |
| Octal (base 8) | 7172 |
| Hexadecimal (base 16) | E7A |
| Base 3 | 12002021 |
| As time | 3706 seconds = 1 h 1 min 46 s |
Is 3706 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3706 ÷ 2 = 1853) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3706 a prime number?
No. 3706 = 2 × 17 × 109, so it is divisible by 2.
What are the factors of 3706?
1, 2, 17, 34, 109, 218, 1853, 3706.
What is 3706 in binary?
111001111010 (hexadecimal E7A, octal 7172).
What is the square root of 3706?
About 60.8769.
What is 3706 in Roman numerals?
MMMDCCVI.
Is 3706 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3706?
3706 is a happy number: repeatedly adding the squares of its digits reaches 1.