The number 4409
4409 is the 600th prime number. Its only divisors are 1 and 4409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4409: the 600th prime number.
- 2
4409 is prime, so its only factors are 1 and 4409. It is the 600th prime; the next prime is 4421 and the one before is 4397.
- 3
The divisors add up to 4410; without 4409 itself that is 1, so 4409 is deficient (1 is less than 4409). Euler's totient φ(4409) = 4408 numbers up to 4409 share no factor with it.
- 4
The digits of 4409 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
4409 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4410 |
| Euler totient φ(n) | 4408 |
| Square | 19439281 |
| Cube | 85707789929 |
| Square root | 66.400301 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 77 |
| Scientific notation | 4.409 × |
4409 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and nine |
| Binary (base 2) | 1000100111001 |
| Octal (base 8) | 10471 |
| Hexadecimal (base 16) | 1139 |
| Base 3 | 20001022 |
| As time | 4409 seconds = 1 h 13 min 29 s |
Is 4409 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4409 a prime number?
Yes. 4409 is divisible only by 1 and itself.
What are the factors of 4409?
1, 4409.
What is 4409 in binary?
1000100111001 (hexadecimal 1139, octal 10471).
What is the square root of 4409?
About 66.4003.
Is 4409 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 4409?
4409 is the 600th prime number.