The number 74027
74027 is the 7304th prime number. Its only divisors are 1 and 74027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74027: the 7304th prime number.
- 2
74027 is prime, so its only factors are 1 and 74027. It is the 7304th prime; the next prime is 74047 and the one before is 74021.
- 3
The divisors add up to 74028; without 74027 itself that is 1, so 74027 is deficient (1 is less than 74027). Euler's totient φ(74027) = 74026 numbers up to 74027 share no factor with it.
- 4
The digits of 74027 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
74027 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 74028 |
| Euler totient φ(n) | 74026 |
| Square | 5479996729 |
| Cube | 405667717857683 |
| Square root | 272.079033 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4027 × |
74027 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and twenty-seven |
| Binary (base 2) | 10010000100101011 |
| Octal (base 8) | 220453 |
| Hexadecimal (base 16) | 1212B |
| Base 3 | 10202112202 |
| As time | 74027 seconds = 20 h 33 min 47 s |
Is 74027 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74027 a prime number?
Yes. 74027 is divisible only by 1 and itself.
What are the factors of 74027?
1, 74027.
What is 74027 in binary?
10010000100101011 (hexadecimal 1212B, octal 220453).
What is the square root of 74027?
About 272.0790.
Is 74027 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 74027?
74027 is the 7304th prime number.