The number 2409
2409 is a binary palindrome (100101101001). Its prime factorisation is 3 × 11 × 73. Divisors (8): 1, 3, 11, 33, 73, 219, 803, 2409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2409: a binary palindrome (100101101001).
- 2
2409 is composite. Its prime factorisation is
- 3
The divisors add up to 3552; without 2409 itself that is 1143, so 2409 is deficient (1143 is less than 2409). Euler's totient φ(2409) = 1440 numbers up to 2409 share no factor with it.
- 4
The digits of 2409 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2409 = 3 \times 11 \times 73 \]
2409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3552 |
| Euler totient φ(n) | 1440 |
| Square | 5803281 |
| Cube | 13980103929 |
| Square root | 49.081565 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 120 |
| Scientific notation | 2.409 × |
2409 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and nine |
| Roman numerals | MMCDIX |
| Binary (base 2) | 100101101001 |
| Octal (base 8) | 4551 |
| Hexadecimal (base 16) | 969 |
| Base 3 | 10022020 |
| As time | 2409 seconds = 40 min 9 s |
Is 2409 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 | Yes (2409 ÷ 3 = 803) | 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 3) | 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 6) | 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 | Yes (2409 ÷ 11 = 219) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2409 a prime number?
No. 2409 = 3 × 11 × 73, so it is divisible by 3.
What are the factors of 2409?
1, 3, 11, 33, 73, 219, 803, 2409.
What is 2409 in binary?
100101101001 (hexadecimal 969, octal 4551).
What is the square root of 2409?
About 49.0816.
What is 2409 in Roman numerals?
MMCDIX.
Is 2409 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2409?
2409 is a binary palindrome (100101101001).