The number 3729
3729 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 113. Divisors (8): 1, 3, 11, 33, 113, 339, 1243, 3729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3729 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3729 is composite. Its prime factorisation is
- 3
The divisors add up to 5472; without 3729 itself that is 1743, so 3729 is deficient (1743 is less than 3729). Euler's totient φ(3729) = 2240 numbers up to 3729 share no factor with it.
- 4
The digits of 3729 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3729 = 3 \times 11 \times 113 \]
3729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5472 |
| Euler totient φ(n) | 2240 |
| Square | 13905441 |
| Cube | 51853389489 |
| Square root | 61.065539 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 69 |
| Scientific notation | 3.729 × |
3729 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and twenty-nine |
| Roman numerals | MMMDCCXXIX |
| Binary (base 2) | 111010010001 |
| Octal (base 8) | 7221 |
| Hexadecimal (base 16) | E91 |
| Base 3 | 12010010 |
| As time | 3729 seconds = 1 h 2 min 9 s |
Is 3729 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 (3729 ÷ 3 = 1243) | 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 | No (remainder 4) | 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 5) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (3729 ÷ 11 = 339) | 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 3729 a prime number?
No. 3729 = 3 × 11 × 113, so it is divisible by 3.
What are the factors of 3729?
1, 3, 11, 33, 113, 339, 1243, 3729.
What is 3729 in binary?
111010010001 (hexadecimal E91, octal 7221).
What is the square root of 3729?
About 61.0655.
What is 3729 in Roman numerals?
MMMDCCXXIX.
Is 3729 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3729?
It is a composite number with 8 divisors.