The number 10727
10727 is a composite number with 4 divisors. Its prime factorisation is 17 × 631. Divisors (4): 1, 17, 631, 10727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10727: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 631, the product of two primes.
- 2
10727 is composite. Its prime factorisation is
- 3
The divisors add up to 11376; without 10727 itself that is 649, so 10727 is deficient (649 is less than 10727). Euler's totient φ(10727) = 10080 numbers up to 10727 share no factor with it.
- 4
The digits of 10727 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10727 = 17 \times 631 \]
10727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11376 |
| Euler totient φ(n) | 10080 |
| Square | 115068529 |
| Cube | 1234340110583 |
| Square root | 103.571232 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.0727 × |
10727 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and twenty-seven |
| Binary (base 2) | 10100111100111 |
| Octal (base 8) | 24747 |
| Hexadecimal (base 16) | 29E7 |
| Base 3 | 112201022 |
| As time | 10727 seconds = 2 h 58 min 47 s |
Is 10727 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 2) | 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 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 | No (remainder 8) | 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 2) | 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 10727 a prime number?
No. 10727 = 17 × 631, so it is divisible by 17.
What are the factors of 10727?
1, 17, 631, 10727.
What is 10727 in binary?
10100111100111 (hexadecimal 29E7, octal 24747).
What is the square root of 10727?
About 103.5712.
Is 10727 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 10727?
10727 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 631, the product of two primes.