The number 27073
27073 is the 2969th prime number. Its only divisors are 1 and 27073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27073: the 2969th prime number.
- 2
27073 is prime, so its only factors are 1 and 27073. It is the 2969th prime; the next prime is 27077 and the one before is 27067.
- 3
The divisors add up to 27074; without 27073 itself that is 1, so 27073 is deficient (1 is less than 27073). Euler's totient φ(27073) = 27072 numbers up to 27073 share no factor with it.
- 4
The digits of 27073 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
27073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27074 |
| Euler totient φ(n) | 27072 |
| Square | 732947329 |
| Cube | 19843083038017 |
| Square root | 164.538749 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7073 × |
27073 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and seventy-three |
| Binary (base 2) | 110100111000001 |
| Octal (base 8) | 64701 |
| Hexadecimal (base 16) | 69C1 |
| Base 3 | 1101010201 |
| As time | 27073 seconds = 7 h 31 min 13 s |
Is 27073 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 | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | 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 27073 a prime number?
Yes. 27073 is divisible only by 1 and itself.
What are the factors of 27073?
1, 27073.
What is 27073 in binary?
110100111000001 (hexadecimal 69C1, octal 64701).
What is the square root of 27073?
About 164.5387.
Is 27073 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 27073?
27073 is the 2969th prime number.