The number 37013
37013 is the 3925th prime number. Its only divisors are 1 and 37013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37013: the 3925th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37013 is prime, so its only factors are 1 and 37013. It is the 3925th prime; the next prime is 37019 and the one before is 37003.
- 3
The divisors add up to 37014; without 37013 itself that is 1, so 37013 is deficient (1 is less than 37013). Euler's totient φ(37013) = 37012 numbers up to 37013 share no factor with it.
- 4
The digits of 37013 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
37013 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37014 |
| Euler totient φ(n) | 37012 |
| Square | 1369962169 |
| Cube | 50706409761197 |
| Square root | 192.387630 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7013 × |
37013 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and thirteen |
| Binary (base 2) | 1001000010010101 |
| Octal (base 8) | 110225 |
| Hexadecimal (base 16) | 9095 |
| Base 3 | 1212202212 |
| As time | 37013 seconds = 10 h 16 min 53 s |
Is 37013 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 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 37013 a prime number?
Yes. 37013 is divisible only by 1 and itself.
What are the factors of 37013?
1, 37013.
What is 37013 in binary?
1001000010010101 (hexadecimal 9095, octal 110225).
What is the square root of 37013?
About 192.3876.
Is 37013 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 37013?
37013 is the 3925th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.