The number 37061
37061 is the 3931st prime number. Its only divisors are 1 and 37061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37061: the 3931st prime number.
- 2
37061 is prime, so its only factors are 1 and 37061. It is the 3931st prime; the next prime is 37087 and the one before is 37057.
- 3
The divisors add up to 37062; without 37061 itself that is 1, so 37061 is deficient (1 is less than 37061). Euler's totient φ(37061) = 37060 numbers up to 37061 share no factor with it.
- 4
The digits of 37061 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 111 steps to reach 1.
37061 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37062 |
| Euler totient φ(n) | 37060 |
| Square | 1373517721 |
| Cube | 50903940257981 |
| Square root | 192.512337 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7061 × |
37061 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and sixty-one |
| Binary (base 2) | 1001000011000101 |
| Octal (base 8) | 110305 |
| Hexadecimal (base 16) | 90C5 |
| Base 3 | 1212211122 |
| As time | 37061 seconds = 10 h 17 min 41 s |
Is 37061 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 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 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 2) | 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 37061 a prime number?
Yes. 37061 is divisible only by 1 and itself.
What are the factors of 37061?
1, 37061.
What is 37061 in binary?
1001000011000101 (hexadecimal 90C5, octal 110305).
What is the square root of 37061?
About 192.5123.
Is 37061 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 37061?
37061 is the 3931st prime number.