The number 9702
9702 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 11. Divisors (36): 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66 … 9702.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9702: a Harshad number: divisible by its digit sum 18.
- 2
9702 is composite. Its prime factorisation is
- 3
The divisors add up to 26676; without 9702 itself that is 16974, so 9702 is abundant (16974 is more than 9702). Euler's totient φ(9702) = 2520 numbers up to 9702 share no factor with it.
- 4
The digits of 9702 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9702 = 2 \times 3^{2} \times 7^{2} \times 11 \]9702 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 26676 |
| Euler totient φ(n) | 2520 |
| Square | 94128804 |
| Cube | 913237656408 |
| Square root | 98.498731 (= 21√22) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.702 × |
9702 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and two |
| Binary (base 2) | 10010111100110 |
| Octal (base 8) | 22746 |
| Hexadecimal (base 16) | 25E6 |
| Base 3 | 111022100 |
| As time | 9702 seconds = 2 h 41 min 42 s |
Is 9702 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9702 ÷ 2 = 4851) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9702 ÷ 3 = 3234) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (9702 ÷ 6 = 1617) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (9702 ÷ 7 = 1386) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (9702 ÷ 9 = 1078) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9702 ÷ 11 = 882) | 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 9702 a prime number?
No. 9702 = 2 × × × 11, so it is divisible by 2.
What are the factors of 9702?
1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 49, 63, 66, 77, 98, 99, 126, 147, 154, 198, 231, 294, 441, 462, 539, 693, 882, 1078, 1386, 1617, 3234, 4851, 9702.
What is 9702 in binary?
10010111100110 (hexadecimal 25E6, octal 22746).
What is the square root of 9702?
About 98.4987, exactly 21√22.
Is 9702 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 9702?
9702 is a Harshad number: divisible by its digit sum 18.