The number 37181
37181 is the 3939th prime number. Its only divisors are 1 and 37181.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37181: the 3939th prime number.
- 2
37181 is prime, so its only factors are 1 and 37181. It is the 3939th prime; the next prime is 37189 and the one before is 37171.
- 3
The divisors add up to 37182; without 37181 itself that is 1, so 37181 is deficient (1 is less than 37181). Euler's totient φ(37181) = 37180 numbers up to 37181 share no factor with it.
- 4
The digits of 37181 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
37181 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37182 |
| Euler totient φ(n) | 37180 |
| Square | 1382426761 |
| Cube | 51400009400741 |
| Square root | 192.823754 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7181 × |
37181 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and eighty-one |
| Binary (base 2) | 1001000100111101 |
| Octal (base 8) | 110475 |
| Hexadecimal (base 16) | 913D |
| Base 3 | 1220000002 |
| As time | 37181 seconds = 10 h 19 min 41 s |
Is 37181 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 4) | 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 2) | 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 1) | 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 37181 a prime number?
Yes. 37181 is divisible only by 1 and itself.
What are the factors of 37181?
1, 37181.
What is 37181 in binary?
1001000100111101 (hexadecimal 913D, octal 110475).
What is the square root of 37181?
About 192.8238.
Is 37181 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37181?
37181 is the 3939th prime number.