The number 37493
37493 is the 3968th prime number. Its only divisors are 1 and 37493.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37493: the 3968th prime number.
- 2
37493 is prime, so its only factors are 1 and 37493. It is the 3968th prime; the next prime is 37501 and the one before is 37489.
- 3
The divisors add up to 37494; without 37493 itself that is 1, so 37493 is deficient (1 is less than 37493). Euler's totient φ(37493) = 37492 numbers up to 37493 share no factor with it.
- 4
The digits of 37493 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
37493 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37494 |
| Euler totient φ(n) | 37492 |
| Square | 1405725049 |
| Cube | 52704849262157 |
| Square root | 193.631093 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7493 × |
37493 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and ninety-three |
| Binary (base 2) | 1001001001110101 |
| Octal (base 8) | 111165 |
| Hexadecimal (base 16) | 9275 |
| Base 3 | 1220102122 |
| As time | 37493 seconds = 10 h 24 min 53 s |
Is 37493 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 37493 a prime number?
Yes. 37493 is divisible only by 1 and itself.
What are the factors of 37493?
1, 37493.
What is 37493 in binary?
1001001001110101 (hexadecimal 9275, octal 111165).
What is the square root of 37493?
About 193.6311.
Is 37493 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 37493?
37493 is the 3968th prime number.