The number 27404
27404 is a composite number with 24 divisors. Its prime factorisation is × 13 × 17 × 31. Divisors (24): 1, 2, 4, 13, 17, 26, 31, 34, 52, 62, 68, 124, 221, 403, 442, 527 … 27404.
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How to work it out
- 1
What is special about 27404: a Harshad number: divisible by its digit sum 17.
- 2
27404 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 27404 itself that is 29044, so 27404 is abundant (29044 is more than 27404). Euler's totient φ(27404) = 11520 numbers up to 27404 share no factor with it.
- 4
The digits of 27404 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 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27404 = 2^{2} \times 13 \times 17 \times 31 \]27404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 11520 |
| Square | 750979216 |
| Cube | 20579834435264 |
| Square root | 165.541536 (= 2√6851) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7404 × |
27404 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and four |
| Binary (base 2) | 110101100001100 |
| Octal (base 8) | 65414 |
| Hexadecimal (base 16) | 6B0C |
| Base 3 | 1101120222 |
| As time | 27404 seconds = 7 h 36 min 44 s |
Is 27404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27404 ÷ 2 = 13702) | 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 | Yes (27404 ÷ 4 = 6851) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 8) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27404 a prime number?
No. 27404 = × 13 × 17 × 31, so it is divisible by 2.
What are the factors of 27404?
1, 2, 4, 13, 17, 26, 31, 34, 52, 62, 68, 124, 221, 403, 442, 527, 806, 884, 1054, 1612, 2108, 6851, 13702, 27404.
What is 27404 in binary?
110101100001100 (hexadecimal 6B0C, octal 65414).
What is the square root of 27404?
About 165.5415, exactly 2√6851.
Is 27404 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27404?
27404 is a Harshad number: divisible by its digit sum 17.