The number 37093
37093 is a composite number with 6 divisors. Its prime factorisation is Ć 757. Divisors (6): 1, 7, 49, 757, 5299, 37093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37093 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37093 is composite. Its prime factorisation is
- 3
The divisors add up to 43206; without 37093 itself that is 6113, so 37093 is deficient (6113 is less than 37093). Euler's totient Ļ(37093) = 31752 numbers up to 37093 share no factor with it.
- 4
The digits of 37093 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37093 = 7^{2} \times 757 \]37093 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 43206 |
| Euler totient Ļ(n) | 31752 |
| Square | 1375890649 |
| Cube | 51035911843357 |
| Square root | 192.595431 (= 7ā757) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7093 Ć |
37093 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and ninety-three |
| Binary (base 2) | 1001000011100101 |
| Octal (base 8) | 110345 |
| Hexadecimal (base 16) | 90E5 |
| Base 3 | 1212212211 |
| As time | 37093 seconds = 10 h 18 min 13 s |
Is 37093 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 3) | 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 | Yes (37093 Ć· 7 = 5299) | 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 4) | 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 1) | 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 37093 a prime number?
No. 37093 = Ć 757, so it is divisible by 7.
What are the factors of 37093?
1, 7, 49, 757, 5299, 37093.
What is 37093 in binary?
1001000011100101 (hexadecimal 90E5, octal 110345).
What is the square root of 37093?
About 192.5954, exactly 7ā757.
Is 37093 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 37093?
It is a composite number with 6 divisors.