The number 27002
27002 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 587. Divisors (8): 1, 2, 23, 46, 587, 1174, 13501, 27002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27002 is composite. Its prime factorisation is
- 3
The divisors add up to 42336; without 27002 itself that is 15334, so 27002 is deficient (15334 is less than 27002). Euler's totient φ(27002) = 12892 numbers up to 27002 share no factor with it.
- 4
The digits of 27002 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27002 = 2 \times 23 \times 587 \]
27002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42336 |
| Euler totient φ(n) | 12892 |
| Square | 729108004 |
| Cube | 19687374324008 |
| Square root | 164.322853 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7002 × |
27002 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and two |
| Binary (base 2) | 110100101111010 |
| Octal (base 8) | 64572 |
| Hexadecimal (base 16) | 697A |
| Base 3 | 1101001002 |
| As time | 27002 seconds = 7 h 30 min 2 s |
Is 27002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27002 ÷ 2 = 13501) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | 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 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27002 a prime number?
No. 27002 = 2 × 23 × 587, so it is divisible by 2.
What are the factors of 27002?
1, 2, 23, 46, 587, 1174, 13501, 27002.
What is 27002 in binary?
110100101111010 (hexadecimal 697A, octal 64572).
What is the square root of 27002?
About 164.3229.
Is 27002 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 27002?
It is a composite number with 8 divisors.