The number 3724
3724 is a composite number with 18 divisors. Its prime factorisation is × × 19. Divisors (18): 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931 … 3724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3724 is composite. Its prime factorisation is
- 3
The divisors add up to 7980; without 3724 itself that is 4256, so 3724 is abundant (4256 is more than 3724). Euler's totient φ(3724) = 1512 numbers up to 3724 share no factor with it.
- 4
The digits of 3724 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3724 = 2^{2} \times 7^{2} \times 19 \]3724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 7980 |
| Euler totient φ(n) | 1512 |
| Square | 13868176 |
| Cube | 51645087424 |
| Square root | 61.024585 (= 14√19) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.724 × |
3724 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and twenty-four |
| Roman numerals | MMMDCCXXIV |
| Binary (base 2) | 111010001100 |
| Octal (base 8) | 7214 |
| Hexadecimal (base 16) | E8C |
| Base 3 | 12002221 |
| As time | 3724 seconds = 1 h 2 min 4 s |
Is 3724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3724 ÷ 2 = 1862) | 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 (3724 ÷ 4 = 931) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3724 ÷ 7 = 532) | 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 7) | 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 6) | 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 3724 a prime number?
No. 3724 = × × 19, so it is divisible by 2.
What are the factors of 3724?
1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724.
What is 3724 in binary?
111010001100 (hexadecimal E8C, octal 7214).
What is the square root of 3724?
About 61.0246, exactly 14√19.
What is 3724 in Roman numerals?
MMMDCCXXIV.
Is 3724 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3724?
It is a composite number with 18 divisors.