The number 57409
57409 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 307. Divisors (8): 1, 11, 17, 187, 307, 3377, 5219, 57409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
57409 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57409 is composite. Its prime factorisation is
- 3
The divisors add up to 66528; without 57409 itself that is 9119, so 57409 is deficient (9119 is less than 57409). Euler's totient φ(57409) = 48960 numbers up to 57409 share no factor with it.
- 4
The digits of 57409 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57409 = 11 \times 17 \times 307 \]
57409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66528 |
| Euler totient φ(n) | 48960 |
| Square | 3295793281 |
| Cube | 189208196468929 |
| Square root | 239.601753 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.7409 × |
57409 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and nine |
| Binary (base 2) | 1110000001000001 |
| Octal (base 8) | 160101 |
| Hexadecimal (base 16) | E041 |
| Base 3 | 2220202021 |
| As time | 57409 seconds = 15 h 56 min 49 s |
Is 57409 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 2) | 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 | Yes (57409 ÷ 11 = 5219) | 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 57409 a prime number?
No. 57409 = 11 × 17 × 307, so it is divisible by 11.
What are the factors of 57409?
1, 11, 17, 187, 307, 3377, 5219, 57409.
What is 57409 in binary?
1110000001000001 (hexadecimal E041, octal 160101).
What is the square root of 57409?
About 239.6018.
Is 57409 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 57409?
It is a composite number with 8 divisors.