The number 13409
13409 is a composite number with 8 divisors. Its prime factorisation is 11 × 23 × 53. Divisors (8): 1, 11, 23, 53, 253, 583, 1219, 13409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13409 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13409 is composite. Its prime factorisation is
- 3
The divisors add up to 15552; without 13409 itself that is 2143, so 13409 is deficient (2143 is less than 13409). Euler's totient φ(13409) = 11440 numbers up to 13409 share no factor with it.
- 4
The digits of 13409 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 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13409 = 11 \times 23 \times 53 \]
13409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15552 |
| Euler totient φ(n) | 11440 |
| Square | 179801281 |
| Cube | 2410955376929 |
| Square root | 115.797237 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3409 × |
13409 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and nine |
| Binary (base 2) | 11010001100001 |
| Octal (base 8) | 32141 |
| Hexadecimal (base 16) | 3461 |
| Base 3 | 200101122 |
| As time | 13409 seconds = 3 h 43 min 29 s |
Is 13409 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 4) | 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 | Yes (13409 ÷ 11 = 1219) | 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 13409 a prime number?
No. 13409 = 11 × 23 × 53, so it is divisible by 11.
What are the factors of 13409?
1, 11, 23, 53, 253, 583, 1219, 13409.
What is 13409 in binary?
11010001100001 (hexadecimal 3461, octal 32141).
What is the square root of 13409?
About 115.7972.
Is 13409 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13409?
It is a composite number with 8 divisors.