The number 17404
17404 is a composite number with 12 divisors. Its prime factorisation is × 19 × 229. Divisors (12): 1, 2, 4, 19, 38, 76, 229, 458, 916, 4351, 8702, 17404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17404: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17404 is composite. Its prime factorisation is
- 3
The divisors add up to 32200; without 17404 itself that is 14796, so 17404 is deficient (14796 is less than 17404). Euler's totient φ(17404) = 8208 numbers up to 17404 share no factor with it.
- 4
The digits of 17404 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 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17404 = 2^{2} \times 19 \times 229 \]17404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 32200 |
| Euler totient φ(n) | 8208 |
| Square | 302899216 |
| Cube | 5271657955264 |
| Square root | 131.924221 (= 2√4351) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7404 × |
17404 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and four |
| Binary (base 2) | 100001111111100 |
| Octal (base 8) | 41774 |
| Hexadecimal (base 16) | 43FC |
| Base 3 | 212212121 |
| As time | 17404 seconds = 4 h 50 min 4 s |
Is 17404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17404 ÷ 2 = 8702) | 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 | Yes (17404 ÷ 4 = 4351) | 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 4) | 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17404 a prime number?
No. 17404 = × 19 × 229, so it is divisible by 2.
What are the factors of 17404?
1, 2, 4, 19, 38, 76, 229, 458, 916, 4351, 8702, 17404.
What is 17404 in binary?
100001111111100 (hexadecimal 43FC, octal 41774).
What is the square root of 17404?
About 131.9242, exactly 2√4351.
Is 17404 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 17404?
17404 is a happy number: repeatedly adding the squares of its digits reaches 1.