The number 9604
9604 is a perfect square (98²). Its prime factorisation is × . Divisors (15): 1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9604: a perfect square (98²); a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
9604 is composite. Its prime factorisation is
- 3
The divisors add up to 19607; without 9604 itself that is 10003, so 9604 is abundant (10003 is more than 9604). Euler's totient φ(9604) = 4116 numbers up to 9604 share no factor with it.
- 4
The digits of 9604 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9604 = 2^{2} \times 7^{4} \]9604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 15 |
| Sum of divisors | 19607 |
| Euler totient φ(n) | 4116 |
| Square | 92236816 |
| Cube | 885842380864 |
| Square root | 98 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.604 × |
| Perfect power |
9604 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and four |
| Binary (base 2) | 10010110000100 |
| Octal (base 8) | 22604 |
| Hexadecimal (base 16) | 2584 |
| Base 3 | 111011201 |
| As time | 9604 seconds = 2 h 40 min 4 s |
Is 9604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9604 ÷ 2 = 4802) | 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 (9604 ÷ 4 = 2401) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (9604 ÷ 7 = 1372) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 9604 a prime number?
No. 9604 = × , so it is divisible by 2.
What are the factors of 9604?
1, 2, 4, 7, 14, 28, 49, 98, 196, 343, 686, 1372, 2401, 4802, 9604.
What is 9604 in binary?
10010110000100 (hexadecimal 2584, octal 22604).
What is the square root of 9604?
98, because 98 × 98 = 9604.
Is 9604 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9604?
9604 is a perfect square (98²); a happy number: repeatedly adding the squares of its digits reaches 1.