The number 31741
31741 is the 3414th prime number. Its only divisors are 1 and 31741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31741: the 3414th prime number.
- 2
31741 is prime, so its only factors are 1 and 31741. It is the 3414th prime; the next prime is 31751 and the one before is 31729.
- 3
The divisors add up to 31742; without 31741 itself that is 1, so 31741 is deficient (1 is less than 31741). Euler's totient φ(31741) = 31740 numbers up to 31741 share no factor with it.
- 4
The digits of 31741 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 129 steps to reach 1.
31741 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 31742 |
| Euler totient φ(n) | 31740 |
| Square | 1007491081 |
| Cube | 31978774402021 |
| Square root | 178.160040 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.1741 × |
31741 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand seven hundred and forty-one |
| Binary (base 2) | 111101111111101 |
| Octal (base 8) | 75775 |
| Hexadecimal (base 16) | 7BFD |
| Base 3 | 1121112121 |
| As time | 31741 seconds = 8 h 49 min 1 s |
Is 31741 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31741 a prime number?
Yes. 31741 is divisible only by 1 and itself.
What are the factors of 31741?
1, 31741.
What is 31741 in binary?
111101111111101 (hexadecimal 7BFD, octal 75775).
What is the square root of 31741?
About 178.1600.
Is 31741 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 31741?
31741 is the 3414th prime number.