The number 927
927 is a composite number with 6 divisors. Its prime factorisation is × 103. Divisors (6): 1, 3, 9, 103, 309, 927.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
927 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
927 is composite. Its prime factorisation is
- 3
The divisors add up to 1352; without 927 itself that is 425, so 927 is deficient (425 is less than 927). Euler's totient φ(927) = 612 numbers up to 927 share no factor with it.
- 4
The digits of 927 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 927 = 3^{2} \times 103 \]927 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1352 |
| Euler totient φ(n) | 612 |
| Square | 859329 |
| Cube | 796597983 |
| Square root | 30.446675 (= 3√103) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 9.27 × |
927 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and twenty-seven |
| Roman numerals | CMXXVII |
| Binary (base 2) | 1110011111 |
| Octal (base 8) | 1637 |
| Hexadecimal (base 16) | 39F |
| Base 3 | 1021100 |
| As time | 927 seconds = 15 min 27 s |
Is 927 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 (927 ÷ 3 = 309) | 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 2) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (927 ÷ 9 = 103) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 927 a prime number?
No. 927 = × 103, so it is divisible by 3.
What are the factors of 927?
1, 3, 9, 103, 309, 927.
What is 927 in binary?
1110011111 (hexadecimal 39F, octal 1637).
What is the square root of 927?
About 30.4467, exactly 3√103.
What is 927 in Roman numerals?
CMXXVII.
Is 927 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 927?
It is a composite number with 6 divisors.