The number 3732
3732 is a composite number with 12 divisors. Its prime factorisation is × 3 × 311. Divisors (12): 1, 2, 3, 4, 6, 12, 311, 622, 933, 1244, 1866, 3732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3732 is composite. Its prime factorisation is
- 3
The divisors add up to 8736; without 3732 itself that is 5004, so 3732 is abundant (5004 is more than 3732). Euler's totient φ(3732) = 1240 numbers up to 3732 share no factor with it.
- 4
The digits of 3732 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 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3732 = 2^{2} \times 3 \times 311 \]3732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8736 |
| Euler totient φ(n) | 1240 |
| Square | 13927824 |
| Cube | 51978639168 |
| Square root | 61.090097 (= 2√933) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.732 × |
3732 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and thirty-two |
| Roman numerals | MMMDCCXXXII |
| Binary (base 2) | 111010010100 |
| Octal (base 8) | 7224 |
| Hexadecimal (base 16) | E94 |
| Base 3 | 12010020 |
| As time | 3732 seconds = 1 h 2 min 12 s |
Is 3732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3732 ÷ 2 = 1866) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (3732 ÷ 3 = 1244) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (3732 ÷ 4 = 933) | 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 | Yes (3732 ÷ 6 = 622) | 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 | No (remainder 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (3732 ÷ 12 = 311) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3732 a prime number?
No. 3732 = × 3 × 311, so it is divisible by 2.
What are the factors of 3732?
1, 2, 3, 4, 6, 12, 311, 622, 933, 1244, 1866, 3732.
What is 3732 in binary?
111010010100 (hexadecimal E94, octal 7224).
What is the square root of 3732?
About 61.0901, exactly 2√933.
What is 3732 in Roman numerals?
MMMDCCXXXII.
Is 3732 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 3732?
It is a composite number with 12 divisors.