The number 27003
27003 is a composite number with 4 divisors. Its prime factorisation is 3 × 9001. Divisors (4): 1, 3, 9001, 27003.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27003: a semiprime: 3 × 9001, the product of two primes.
- 2
27003 is composite. Its prime factorisation is
- 3
The divisors add up to 36008; without 27003 itself that is 9005, so 27003 is deficient (9005 is less than 27003). Euler's totient φ(27003) = 18000 numbers up to 27003 share no factor with it.
- 4
The digits of 27003 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27003 = 3 \times 9001 \]
27003 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36008 |
| Euler totient φ(n) | 18000 |
| Square | 729162009 |
| Cube | 19689561729027 |
| Square root | 164.325896 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7003 × |
27003 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and three |
| Binary (base 2) | 110100101111011 |
| Octal (base 8) | 64573 |
| Hexadecimal (base 16) | 697B |
| Base 3 | 1101001010 |
| As time | 27003 seconds = 7 h 30 min 3 s |
Is 27003 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 | Yes (27003 ÷ 3 = 9001) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27003 a prime number?
No. 27003 = 3 × 9001, so it is divisible by 3.
What are the factors of 27003?
1, 3, 9001, 27003.
What is 27003 in binary?
110100101111011 (hexadecimal 697B, octal 64573).
What is the square root of 27003?
About 164.3259.
Is 27003 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 27003?
27003 is a semiprime: 3 × 9001, the product of two primes.