The number 3927
3927 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 17. Divisors (16): 1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309, 3927.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3927: a Harshad number: divisible by its digit sum 21.
- 2
3927 is composite. Its prime factorisation is
- 3
The divisors add up to 6912; without 3927 itself that is 2985, so 3927 is deficient (2985 is less than 3927). Euler's totient φ(3927) = 1920 numbers up to 3927 share no factor with it.
- 4
The digits of 3927 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3927 = 3 \times 7 \times 11 \times 17 \]
3927 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6912 |
| Euler totient φ(n) | 1920 |
| Square | 15421329 |
| Cube | 60559558983 |
| Square root | 62.665780 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 82 |
| Scientific notation | 3.927 × |
3927 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and twenty-seven |
| Roman numerals | MMMCMXXVII |
| Binary (base 2) | 111101010111 |
| Octal (base 8) | 7527 |
| Hexadecimal (base 16) | F57 |
| Base 3 | 12101110 |
| As time | 3927 seconds = 1 h 5 min 27 s |
Is 3927 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 (3927 ÷ 3 = 1309) | 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 | Yes (3927 ÷ 7 = 561) | 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 3) | 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 | Yes (3927 ÷ 11 = 357) | 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 3927 a prime number?
No. 3927 = 3 × 7 × 11 × 17, so it is divisible by 3.
What are the factors of 3927?
1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309, 3927.
What is 3927 in binary?
111101010111 (hexadecimal F57, octal 7527).
What is the square root of 3927?
About 62.6658.
What is 3927 in Roman numerals?
MMMCMXXVII.
Is 3927 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 3927?
3927 is a Harshad number: divisible by its digit sum 21.