The number 3761
3761 is the 523rd prime number. Its only divisors are 1 and 3761.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3761: the 523rd prime number.
- 2
3761 is prime, so its only factors are 1 and 3761. It is the 523rd prime; the next prime is 3767 and the one before is 3739.
- 3
The divisors add up to 3762; without 3761 itself that is 1, so 3761 is deficient (1 is less than 3761). Euler's totient φ(3761) = 3760 numbers up to 3761 share no factor with it.
- 4
The digits of 3761 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
3761 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3762 |
| Euler totient φ(n) | 3760 |
| Square | 14145121 |
| Cube | 53199800081 |
| Square root | 61.326992 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 38 |
| Scientific notation | 3.761 × |
3761 in other forms
| Form | Value |
|---|---|
| In words | three thousand seven hundred and sixty-one |
| Roman numerals | MMMDCCLXI |
| Binary (base 2) | 111010110001 |
| Octal (base 8) | 7261 |
| Hexadecimal (base 16) | EB1 |
| Base 3 | 12011022 |
| As time | 3761 seconds = 1 h 2 min 41 s |
Is 3761 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 1) | 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3761 a prime number?
Yes. 3761 is divisible only by 1 and itself.
What are the factors of 3761?
1, 3761.
What is 3761 in binary?
111010110001 (hexadecimal EB1, octal 7261).
What is the square root of 3761?
About 61.3270.
What is 3761 in Roman numerals?
MMMDCCLXI.
Is 3761 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3761?
3761 is the 523rd prime number.