The number 3409
3409 is a composite number with 4 divisors. Its prime factorisation is 7 × 487. Divisors (4): 1, 7, 487, 3409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3409: a semiprime: 7 × 487, the product of two primes.
- 2
3409 is composite. Its prime factorisation is
- 3
The divisors add up to 3904; without 3409 itself that is 495, so 3409 is deficient (495 is less than 3409). Euler's totient φ(3409) = 2916 numbers up to 3409 share no factor with it.
- 4
The digits of 3409 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3409 = 7 \times 487 \]
3409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3904 |
| Euler totient φ(n) | 2916 |
| Square | 11621281 |
| Cube | 39616946929 |
| Square root | 58.386642 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.409 × |
3409 in other forms
| Form | Value |
|---|---|
| In words | three thousand four hundred and nine |
| Roman numerals | MMMCDIX |
| Binary (base 2) | 110101010001 |
| Octal (base 8) | 6521 |
| Hexadecimal (base 16) | D51 |
| Base 3 | 11200021 |
| As time | 3409 seconds = 56 min 49 s |
Is 3409 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 | Yes (3409 ÷ 7 = 487) | 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 7) | 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 10) | 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 3409 a prime number?
No. 3409 = 7 × 487, so it is divisible by 7.
What are the factors of 3409?
1, 7, 487, 3409.
What is 3409 in binary?
110101010001 (hexadecimal D51, octal 6521).
What is the square root of 3409?
About 58.3866.
What is 3409 in Roman numerals?
MMMCDIX.
Is 3409 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3409?
3409 is a semiprime: 7 × 487, the product of two primes.