The number 27043
27043 is the 2965th prime number. Its only divisors are 1 and 27043.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27043: the 2965th prime number.
- 2
27043 is prime, so its only factors are 1 and 27043. It is the 2965th prime; the next prime is 27059 and the one before is 27031.
- 3
The divisors add up to 27044; without 27043 itself that is 1, so 27043 is deficient (1 is less than 27043). Euler's totient φ(27043) = 27042 numbers up to 27043 share no factor with it.
- 4
The digits of 27043 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
27043 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27044 |
| Euler totient φ(n) | 27042 |
| Square | 731323849 |
| Cube | 19777190848507 |
| Square root | 164.447560 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7043 × |
27043 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and forty-three |
| Binary (base 2) | 110100110100011 |
| Octal (base 8) | 64643 |
| Hexadecimal (base 16) | 69A3 |
| Base 3 | 1101002121 |
| As time | 27043 seconds = 7 h 30 min 43 s |
Is 27043 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 3) | 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 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27043 a prime number?
Yes. 27043 is divisible only by 1 and itself.
What are the factors of 27043?
1, 27043.
What is 27043 in binary?
110100110100011 (hexadecimal 69A3, octal 64643).
What is the square root of 27043?
About 164.4476.
Is 27043 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27043?
27043 is the 2965th prime number.