The number 9409
9409 is a perfect square (97²). Its prime factorisation is . Divisors (3): 1, 97, 9409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9409: a perfect square (97²); the square of a prime (97²).
- 2
9409 is composite. Its prime factorisation is
- 3
The divisors add up to 9507; without 9409 itself that is 98, so 9409 is deficient (98 is less than 9409). Euler's totient φ(9409) = 9312 numbers up to 9409 share no factor with it.
- 4
The digits of 9409 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9409 = 97^{2} \]9409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 9507 |
| Euler totient φ(n) | 9312 |
| Square | 88529281 |
| Cube | 832972004929 |
| Square root | 97 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 60 |
| Scientific notation | 9.409 × |
| Perfect power |
9409 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and nine |
| Binary (base 2) | 10010011000001 |
| Octal (base 8) | 22301 |
| Hexadecimal (base 16) | 24C1 |
| Base 3 | 110220111 |
| As time | 9409 seconds = 2 h 36 min 49 s |
Is 9409 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | 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 1) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9409 a prime number?
No. 9409 = , so it is divisible by 97.
What are the factors of 9409?
1, 97, 9409.
What is 9409 in binary?
10010011000001 (hexadecimal 24C1, octal 22301).
What is the square root of 9409?
97, because 97 × 97 = 9409.
Is 9409 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9409?
9409 is a perfect square (97²); the square of a prime (97²).