The number 9700
9700 is a composite number with 18 divisors. Its prime factorisation is × × 97. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425 … 9700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9700: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9700 is composite. Its prime factorisation is
- 3
The divisors add up to 21266; without 9700 itself that is 11566, so 9700 is abundant (11566 is more than 9700). Euler's totient φ(9700) = 3840 numbers up to 9700 share no factor with it.
- 4
The digits of 9700 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9700 = 2^{2} \times 5^{2} \times 97 \]9700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 21266 |
| Euler totient φ(n) | 3840 |
| Square | 94090000 |
| Cube | 912673000000 |
| Square root | 98.488578 (= 10√97) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.7 × |
9700 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred |
| Binary (base 2) | 10010111100100 |
| Octal (base 8) | 22744 |
| Hexadecimal (base 16) | 25E4 |
| Base 3 | 111022021 |
| As time | 9700 seconds = 2 h 41 min 40 s |
Is 9700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9700 ÷ 2 = 4850) | 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 (9700 ÷ 4 = 2425) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9700 ÷ 5 = 1940) | 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 5) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9700 ÷ 10 = 970) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 9700 a prime number?
No. 9700 = × × 97, so it is divisible by 2.
What are the factors of 9700?
1, 2, 4, 5, 10, 20, 25, 50, 97, 100, 194, 388, 485, 970, 1940, 2425, 4850, 9700.
What is 9700 in binary?
10010111100100 (hexadecimal 25E4, octal 22744).
What is the square root of 9700?
About 98.4886, exactly 10√97.
Is 9700 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 9700?
9700 is a happy number: repeatedly adding the squares of its digits reaches 1.