The number 9640
9640 is a composite number with 16 divisors. Its prime factorisation is × 5 × 241. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 241, 482, 964, 1205, 1928, 2410, 4820, 9640.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9640: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9640 is composite. Its prime factorisation is
- 3
The divisors add up to 21780; without 9640 itself that is 12140, so 9640 is abundant (12140 is more than 9640). Euler's totient φ(9640) = 3840 numbers up to 9640 share no factor with it.
- 4
The digits of 9640 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 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9640 = 2^{3} \times 5 \times 241 \]9640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21780 |
| Euler totient φ(n) | 3840 |
| Square | 92929600 |
| Cube | 895841344000 |
| Square root | 98.183502 (= 2√2410) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 21 |
| Scientific notation | 9.64 × |
9640 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and forty |
| Binary (base 2) | 10010110101000 |
| Octal (base 8) | 22650 |
| Hexadecimal (base 16) | 25A8 |
| Base 3 | 111020001 |
| As time | 9640 seconds = 2 h 40 min 40 s |
Is 9640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9640 ÷ 2 = 4820) | 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 (9640 ÷ 4 = 2410) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9640 ÷ 5 = 1928) | 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 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 | Yes (9640 ÷ 8 = 1205) | 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 (9640 ÷ 10 = 964) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 9640 a prime number?
No. 9640 = × 5 × 241, so it is divisible by 2.
What are the factors of 9640?
1, 2, 4, 5, 8, 10, 20, 40, 241, 482, 964, 1205, 1928, 2410, 4820, 9640.
What is 9640 in binary?
10010110101000 (hexadecimal 25A8, octal 22650).
What is the square root of 9640?
About 98.1835, exactly 2√2410.
Is 9640 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9640?
9640 is a happy number: repeatedly adding the squares of its digits reaches 1.