The number 27479
27479 is a twin prime (27479 and 27481 are both prime) and the 3002nd prime number. Its only divisors are 1 and 27479.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27479: a twin prime (27479 and 27481 are both prime); the 3002nd prime number.
- 2
27479 is prime, so its only factors are 1 and 27479. It is the 3002nd prime; the next prime is 27481 and the one before is 27457.
- 3
The divisors add up to 27480; without 27479 itself that is 1, so 27479 is deficient (1 is less than 27479). Euler's totient φ(27479) = 27478 numbers up to 27479 share no factor with it.
- 4
The digits of 27479 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 196 steps to reach 1.
27479 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27480 |
| Euler totient φ(n) | 27478 |
| Square | 755095441 |
| Cube | 20749267623239 |
| Square root | 165.767910 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 196 |
| Scientific notation | 2.7479 × |
27479 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and seventy-nine |
| Binary (base 2) | 110101101010111 |
| Octal (base 8) | 65527 |
| Hexadecimal (base 16) | 6B57 |
| Base 3 | 1101200202 |
| As time | 27479 seconds = 7 h 37 min 59 s |
Is 27479 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 4) | 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 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 7) | 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 9) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27479 a prime number?
Yes. 27479 is divisible only by 1 and itself.
What are the factors of 27479?
1, 27479.
What is 27479 in binary?
110101101010111 (hexadecimal 6B57, octal 65527).
What is the square root of 27479?
About 165.7679.
Is 27479 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 27479?
27479 is a twin prime (27479 and 27481 are both prime); the 3002nd prime number.