The number 3747
3747 is a composite number with 4 divisors. Its prime factorisation is 3 × 1249. Divisors (4): 1, 3, 1249, 3747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3747: a semiprime: 3 × 1249, the product of two primes.
- 2
3747 is composite. Its prime factorisation is
- 3
The divisors add up to 5000; without 3747 itself that is 1253, so 3747 is deficient (1253 is less than 3747). Euler's totient φ(3747) = 2496 numbers up to 3747 share no factor with it.
- 4
The digits of 3747 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 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3747 = 3 \times 1249 \]
3747 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5000 |
| Euler totient φ(n) | 2496 |
| Square | 14040009 |
| Cube | 52607913723 |
| Square root | 61.212744 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.747 × |
3747 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and forty-seven |
| Roman numerals | MMMDCCXLVII |
| Binary (base 2) | 111010100011 |
| Octal (base 8) | 7243 |
| Hexadecimal (base 16) | EA3 |
| Base 3 | 12010210 |
| As time | 3747 seconds = 1 h 2 min 27 s |
Is 3747 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 (3747 ÷ 3 = 1249) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 | No (remainder 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3747 a prime number?
No. 3747 = 3 × 1249, so it is divisible by 3.
What are the factors of 3747?
1, 3, 1249, 3747.
What is 3747 in binary?
111010100011 (hexadecimal EA3, octal 7243).
What is the square root of 3747?
About 61.2127.
What is 3747 in Roman numerals?
MMMDCCXLVII.
Is 3747 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3747?
3747 is a semiprime: 3 × 1249, the product of two primes.