The number 53404
53404 is a composite number with 18 divisors. Its prime factorisation is × × 79. Divisors (18): 1, 2, 4, 13, 26, 52, 79, 158, 169, 316, 338, 676, 1027, 2054, 4108, 13351 … 53404.
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How to work it out
- 1
53404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53404 is composite. Its prime factorisation is
- 3
The divisors add up to 102480; without 53404 itself that is 49076, so 53404 is deficient (49076 is less than 53404). Euler's totient φ(53404) = 24336 numbers up to 53404 share no factor with it.
- 4
The digits of 53404 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53404 = 2^{2} \times 13^{2} \times 79 \]53404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 102480 |
| Euler totient φ(n) | 24336 |
| Square | 2851987216 |
| Cube | 152307525283264 |
| Square root | 231.093055 (= 26√79) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 70 |
| Scientific notation | 5.3404 × |
53404 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and four |
| Binary (base 2) | 1101000010011100 |
| Octal (base 8) | 150234 |
| Hexadecimal (base 16) | D09C |
| Base 3 | 2201020221 |
| As time | 53404 seconds = 14 h 50 min 4 s |
Is 53404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53404 ÷ 2 = 26702) | 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 (53404 ÷ 4 = 13351) | 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 1) | 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 10) | 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 53404 a prime number?
No. 53404 = × × 79, so it is divisible by 2.
What are the factors of 53404?
1, 2, 4, 13, 26, 52, 79, 158, 169, 316, 338, 676, 1027, 2054, 4108, 13351, 26702, 53404.
What is 53404 in binary?
1101000010011100 (hexadecimal D09C, octal 150234).
What is the square root of 53404?
About 231.0931, exactly 26√79.
Is 53404 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 53404?
It is a composite number with 18 divisors.