The number 3712
3712 is a composite number with 16 divisors. Its prime factorisation is × 29. Divisors (16): 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3712 is composite. Its prime factorisation is
- 3
The divisors add up to 7650; without 3712 itself that is 3938, so 3712 is abundant (3938 is more than 3712). Euler's totient φ(3712) = 1792 numbers up to 3712 share no factor with it.
- 4
The digits of 3712 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3712 = 2^{7} \times 29 \]3712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 7650 |
| Euler totient φ(n) | 1792 |
| Square | 13778944 |
| Cube | 51147440128 |
| Square root | 60.926185 (= 8√58) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 25 |
| Scientific notation | 3.712 × |
3712 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and twelve |
| Roman numerals | MMMDCCXII |
| Binary (base 2) | 111010000000 |
| Octal (base 8) | 7200 |
| Hexadecimal (base 16) | E80 |
| Base 3 | 12002111 |
| As time | 3712 seconds = 1 h 1 min 52 s |
Is 3712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3712 ÷ 2 = 1856) | 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 | Yes (3712 ÷ 4 = 928) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | Yes (3712 ÷ 8 = 464) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3712 a prime number?
No. 3712 = × 29, so it is divisible by 2.
What are the factors of 3712?
1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712.
What is 3712 in binary?
111010000000 (hexadecimal E80, octal 7200).
What is the square root of 3712?
About 60.9262, exactly 8√58.
What is 3712 in Roman numerals?
MMMDCCXII.
Is 3712 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3712?
It is a composite number with 16 divisors.