The number 3767
3767 is a twin prime (3767 and 3769 are both prime) and the 524th prime number. Its only divisors are 1 and 3767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3767: a twin prime (3767 and 3769 are both prime); the 524th prime number.
- 2
3767 is prime, so its only factors are 1 and 3767. It is the 524th prime; the next prime is 3769 and the one before is 3761.
- 3
The divisors add up to 3768; without 3767 itself that is 1, so 3767 is deficient (1 is less than 3767). Euler's totient φ(3767) = 3766 numbers up to 3767 share no factor with it.
- 4
The digits of 3767 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
3767 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3768 |
| Euler totient φ(n) | 3766 |
| Square | 14190289 |
| Cube | 53454818663 |
| Square root | 61.375891 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 87 |
| Scientific notation | 3.767 × |
3767 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and sixty-seven |
| Roman numerals | MMMDCCLXVII |
| Binary (base 2) | 111010110111 |
| Octal (base 8) | 7267 |
| Hexadecimal (base 16) | EB7 |
| Base 3 | 12011112 |
| As time | 3767 seconds = 1 h 2 min 47 s |
Is 3767 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 2) | 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 | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 3767 a prime number?
Yes. 3767 is divisible only by 1 and itself.
What are the factors of 3767?
1, 3767.
What is 3767 in binary?
111010110111 (hexadecimal EB7, octal 7267).
What is the square root of 3767?
About 61.3759.
What is 3767 in Roman numerals?
MMMDCCLXVII.
Is 3767 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 3767?
3767 is a twin prime (3767 and 3769 are both prime); the 524th prime number.