The number 3731
3731 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 41. Divisors (8): 1, 7, 13, 41, 91, 287, 533, 3731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3731: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3731 is composite. Its prime factorisation is
- 3
The divisors add up to 4704; without 3731 itself that is 973, so 3731 is deficient (973 is less than 3731). Euler's totient φ(3731) = 2880 numbers up to 3731 share no factor with it.
- 4
The digits of 3731 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3731 = 7 \times 13 \times 41 \]
3731 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4704 |
| Euler totient φ(n) | 2880 |
| Square | 13920361 |
| Cube | 51936866891 |
| Square root | 61.081912 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 69 |
| Scientific notation | 3.731 × |
3731 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and thirty-one |
| Roman numerals | MMMDCCXXXI |
| Binary (base 2) | 111010010011 |
| Octal (base 8) | 7223 |
| Hexadecimal (base 16) | E93 |
| Base 3 | 12010012 |
| As time | 3731 seconds = 1 h 2 min 11 s |
Is 3731 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 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (3731 ÷ 7 = 533) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3731 a prime number?
No. 3731 = 7 × 13 × 41, so it is divisible by 7.
What are the factors of 3731?
1, 7, 13, 41, 91, 287, 533, 3731.
What is 3731 in binary?
111010010011 (hexadecimal E93, octal 7223).
What is the square root of 3731?
About 61.0819.
What is 3731 in Roman numerals?
MMMDCCXXXI.
Is 3731 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 3731?
3731 is a happy number: repeatedly adding the squares of its digits reaches 1.