The number 74093
74093 is the 7309th prime number. Its only divisors are 1 and 74093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74093: the 7309th prime number.
- 2
74093 is prime, so its only factors are 1 and 74093. It is the 7309th prime; the next prime is 74099 and the one before is 74077.
- 3
The divisors add up to 74094; without 74093 itself that is 1, so 74093 is deficient (1 is less than 74093). Euler's totient φ(74093) = 74092 numbers up to 74093 share no factor with it.
- 4
The digits of 74093 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
74093 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74094 |
| Euler totient φ(n) | 74092 |
| Square | 5489772649 |
| Cube | 406753724882357 |
| Square root | 272.200294 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.4093 × |
74093 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and ninety-three |
| Binary (base 2) | 10010000101101101 |
| Octal (base 8) | 220555 |
| Hexadecimal (base 16) | 1216D |
| Base 3 | 10202122012 |
| As time | 74093 seconds = 20 h 34 min 53 s |
Is 74093 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 5) | 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 8) | 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 74093 a prime number?
Yes. 74093 is divisible only by 1 and itself.
What are the factors of 74093?
1, 74093.
What is 74093 in binary?
10010000101101101 (hexadecimal 1216D, octal 220555).
What is the square root of 74093?
About 272.2003.
Is 74093 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 74093?
74093 is the 7309th prime number.