The number 9748
9748 is a composite number with 6 divisors. Its prime factorisation is × 2437. Divisors (6): 1, 2, 4, 2437, 4874, 9748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9748 is composite. Its prime factorisation is
- 3
The divisors add up to 17066; without 9748 itself that is 7318, so 9748 is deficient (7318 is less than 9748). Euler's totient φ(9748) = 4872 numbers up to 9748 share no factor with it.
- 4
The digits of 9748 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9748 = 2^{2} \times 2437 \]9748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 17066 |
| Euler totient φ(n) | 4872 |
| Square | 95023504 |
| Cube | 926289116992 |
| Square root | 98.731960 (= 2√2437) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.748 × |
9748 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and forty-eight |
| Binary (base 2) | 10011000010100 |
| Octal (base 8) | 23024 |
| Hexadecimal (base 16) | 2614 |
| Base 3 | 111101001 |
| As time | 9748 seconds = 2 h 42 min 28 s |
Is 9748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9748 ÷ 2 = 4874) | 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 (9748 ÷ 4 = 2437) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | 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 4) | 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 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9748 a prime number?
No. 9748 = × 2437, so it is divisible by 2.
What are the factors of 9748?
1, 2, 4, 2437, 4874, 9748.
What is 9748 in binary?
10011000010100 (hexadecimal 2614, octal 23024).
What is the square root of 9748?
About 98.7320, exactly 2√2437.
Is 9748 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 9748?
It is a composite number with 6 divisors.