The number 9738
9738 is a composite number with 12 divisors. Its prime factorisation is 2 × × 541. Divisors (12): 1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9738: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9738 is composite. Its prime factorisation is
- 3
The divisors add up to 21138; without 9738 itself that is 11400, so 9738 is abundant (11400 is more than 9738). Euler's totient φ(9738) = 3240 numbers up to 9738 share no factor with it.
- 4
The digits of 9738 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9738 = 2 \times 3^{2} \times 541 \]9738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 21138 |
| Euler totient φ(n) | 3240 |
| Square | 94828644 |
| Cube | 923441335272 |
| Square root | 98.681305 (= 3√1082) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.738 × |
9738 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and thirty-eight |
| Binary (base 2) | 10011000001010 |
| Octal (base 8) | 23012 |
| Hexadecimal (base 16) | 260A |
| Base 3 | 111100200 |
| As time | 9738 seconds = 2 h 42 min 18 s |
Is 9738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9738 ÷ 2 = 4869) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9738 ÷ 3 = 3246) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9738 ÷ 6 = 1623) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (9738 ÷ 9 = 1082) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9738 a prime number?
No. 9738 = 2 × × 541, so it is divisible by 2.
What are the factors of 9738?
1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738.
What is 9738 in binary?
10011000001010 (hexadecimal 260A, octal 23012).
What is the square root of 9738?
About 98.6813, exactly 3√1082.
Is 9738 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 9738?
9738 is a happy number: repeatedly adding the squares of its digits reaches 1.