The number 9746
9746 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 443. Divisors (8): 1, 2, 11, 22, 443, 886, 4873, 9746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9746 is composite. Its prime factorisation is
- 3
The divisors add up to 15984; without 9746 itself that is 6238, so 9746 is deficient (6238 is less than 9746). Euler's totient φ(9746) = 4420 numbers up to 9746 share no factor with it.
- 4
The digits of 9746 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9746 = 2 \times 11 \times 443 \]
9746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15984 |
| Euler totient φ(n) | 4420 |
| Square | 94984516 |
| Cube | 925719092936 |
| Square root | 98.721831 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.746 × |
9746 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and forty-six |
| Binary (base 2) | 10011000010010 |
| Octal (base 8) | 23022 |
| Hexadecimal (base 16) | 2612 |
| Base 3 | 111100222 |
| As time | 9746 seconds = 2 h 42 min 26 s |
Is 9746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9746 ÷ 2 = 4873) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9746 ÷ 11 = 886) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9746 a prime number?
No. 9746 = 2 × 11 × 443, so it is divisible by 2.
What are the factors of 9746?
1, 2, 11, 22, 443, 886, 4873, 9746.
What is 9746 in binary?
10011000010010 (hexadecimal 2612, octal 23022).
What is the square root of 9746?
About 98.7218.
Is 9746 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 9746?
It is a composite number with 8 divisors.