The number 9740
9740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 487. Divisors (12): 1, 2, 4, 5, 10, 20, 487, 974, 1948, 2435, 4870, 9740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9740: a Harshad number: divisible by its digit sum 20.
- 2
9740 is composite. Its prime factorisation is
- 3
The divisors add up to 20496; without 9740 itself that is 10756, so 9740 is abundant (10756 is more than 9740). Euler's totient φ(9740) = 3888 numbers up to 9740 share no factor with it.
- 4
The digits of 9740 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9740 = 2^{2} \times 5 \times 487 \]9740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 20496 |
| Euler totient φ(n) | 3888 |
| Square | 94867600 |
| Cube | 924010424000 |
| Square root | 98.691438 (= 2√2435) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.74 × |
9740 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and forty |
| Binary (base 2) | 10011000001100 |
| Octal (base 8) | 23014 |
| Hexadecimal (base 16) | 260C |
| Base 3 | 111100202 |
| As time | 9740 seconds = 2 h 42 min 20 s |
Is 9740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9740 ÷ 2 = 4870) | 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 | Yes (9740 ÷ 4 = 2435) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9740 ÷ 5 = 1948) | 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 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9740 ÷ 10 = 974) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9740 a prime number?
No. 9740 = × 5 × 487, so it is divisible by 2.
What are the factors of 9740?
1, 2, 4, 5, 10, 20, 487, 974, 1948, 2435, 4870, 9740.
What is 9740 in binary?
10011000001100 (hexadecimal 260C, octal 23014).
What is the square root of 9740?
About 98.6914, exactly 2√2435.
Is 9740 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9740?
9740 is a Harshad number: divisible by its digit sum 20.