The number 5404
5404 is a composite number with 12 divisors. Its prime factorisation is × 7 × 193. Divisors (12): 1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5404 is composite. Its prime factorisation is
- 3
The divisors add up to 10864; without 5404 itself that is 5460, so 5404 is abundant (5460 is more than 5404). Euler's totient φ(5404) = 2304 numbers up to 5404 share no factor with it.
- 4
The digits of 5404 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5404 = 2^{2} \times 7 \times 193 \]5404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10864 |
| Euler totient φ(n) | 2304 |
| Square | 29203216 |
| Cube | 157814179264 |
| Square root | 73.511904 (= 2√1351) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 160 |
| Scientific notation | 5.404 × |
5404 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and four |
| Binary (base 2) | 1010100011100 |
| Octal (base 8) | 12434 |
| Hexadecimal (base 16) | 151C |
| Base 3 | 21102011 |
| As time | 5404 seconds = 1 h 30 min 4 s |
Is 5404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5404 ÷ 2 = 2702) | 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 (5404 ÷ 4 = 1351) | 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 | Yes (5404 ÷ 7 = 772) | 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5404 a prime number?
No. 5404 = × 7 × 193, so it is divisible by 2.
What are the factors of 5404?
1, 2, 4, 7, 14, 28, 193, 386, 772, 1351, 2702, 5404.
What is 5404 in binary?
1010100011100 (hexadecimal 151C, octal 12434).
What is the square root of 5404?
About 73.5119, exactly 2√1351.
Is 5404 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5404?
It is a composite number with 12 divisors.