The number 3704
3704 is a composite number with 8 divisors. Its prime factorisation is × 463. Divisors (8): 1, 2, 4, 8, 463, 926, 1852, 3704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3704 is composite. Its prime factorisation is
- 3
The divisors add up to 6960; without 3704 itself that is 3256, so 3704 is deficient (3256 is less than 3704). Euler's totient φ(3704) = 1848 numbers up to 3704 share no factor with it.
- 4
The digits of 3704 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3704 = 2^{3} \times 463 \]3704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6960 |
| Euler totient φ(n) | 1848 |
| Square | 13719616 |
| Cube | 50817457664 |
| Square root | 60.860496 (= 2√926) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 131 |
| Scientific notation | 3.704 × |
3704 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and four |
| Roman numerals | MMMDCCIV |
| Binary (base 2) | 111001111000 |
| Octal (base 8) | 7170 |
| Hexadecimal (base 16) | E78 |
| Base 3 | 12002012 |
| As time | 3704 seconds = 1 h 1 min 44 s |
Is 3704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3704 ÷ 2 = 1852) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3704 ÷ 4 = 926) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (3704 ÷ 8 = 463) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3704 a prime number?
No. 3704 = × 463, so it is divisible by 2.
What are the factors of 3704?
1, 2, 4, 8, 463, 926, 1852, 3704.
What is 3704 in binary?
111001111000 (hexadecimal E78, octal 7170).
What is the square root of 3704?
About 60.8605, exactly 2√926.
What is 3704 in Roman numerals?
MMMDCCIV.
Is 3704 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3704?
It is a composite number with 8 divisors.