The number 9712
9712 is a composite number with 10 divisors. Its prime factorisation is × 607. Divisors (10): 1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9712 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9712 is composite. Its prime factorisation is
- 3
The divisors add up to 18848; without 9712 itself that is 9136, so 9712 is deficient (9136 is less than 9712). Euler's totient φ(9712) = 4848 numbers up to 9712 share no factor with it.
- 4
The digits of 9712 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9712 = 2^{4} \times 607 \]9712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 18848 |
| Euler totient φ(n) | 4848 |
| Square | 94322944 |
| Cube | 916064432128 |
| Square root | 98.549480 (= 4√607) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.712 × |
9712 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and twelve |
| Binary (base 2) | 10010111110000 |
| Octal (base 8) | 22760 |
| Hexadecimal (base 16) | 25F0 |
| Base 3 | 111022201 |
| As time | 9712 seconds = 2 h 41 min 52 s |
Is 9712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9712 ÷ 2 = 4856) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (9712 ÷ 4 = 2428) | 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 4) | 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 | Yes (9712 ÷ 8 = 1214) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9712 a prime number?
No. 9712 = × 607, so it is divisible by 2.
What are the factors of 9712?
1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712.
What is 9712 in binary?
10010111110000 (hexadecimal 25F0, octal 22760).
What is the square root of 9712?
About 98.5495, exactly 4√607.
Is 9712 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9712?
It is a composite number with 10 divisors.