The number 9730
9730 is a triangular number: 1 + 2 + … + 139 = 9730. Its prime factorisation is 2 × 5 × 7 × 139. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9730: a triangular number: 1 + 2 + … + 139 = 9730; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9730 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 9730 itself that is 10430, so 9730 is abundant (10430 is more than 9730). Euler's totient φ(9730) = 3312 numbers up to 9730 share no factor with it.
- 4
The digits of 9730 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
\[ 9730 = 2 \times 5 \times 7 \times 139 \]
9730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 3312 |
| Square | 94672900 |
| Cube | 921167317000 |
| Square root | 98.640762 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.73 × |
9730 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and thirty |
| Binary (base 2) | 10011000000010 |
| Octal (base 8) | 23002 |
| Hexadecimal (base 16) | 2602 |
| Base 3 | 111100101 |
| As time | 9730 seconds = 2 h 42 min 10 s |
Is 9730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9730 ÷ 2 = 4865) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9730 ÷ 5 = 1946) | 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 | Yes (9730 ÷ 7 = 1390) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9730 ÷ 10 = 973) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9730 a prime number?
No. 9730 = 2 × 5 × 7 × 139, so it is divisible by 2.
What are the factors of 9730?
1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730.
What is 9730 in binary?
10011000000010 (hexadecimal 2602, octal 23002).
What is the square root of 9730?
About 98.6408.
Is 9730 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9730?
9730 is a triangular number: 1 + 2 + … + 139 = 9730; a happy number: repeatedly adding the squares of its digits reaches 1.