The number 53504
53504 is a composite number with 36 divisors. Its prime factorisation is × 11 × 19. Divisors (36): 1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 64, 76, 88, 128, 152 … 53504.
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How to work it out
- 1
53504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53504 is composite. Its prime factorisation is
- 3
The divisors add up to 122640; without 53504 itself that is 69136, so 53504 is abundant (69136 is more than 53504). Euler's totient φ(53504) = 23040 numbers up to 53504 share no factor with it.
- 4
The digits of 53504 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53504 = 2^{8} \times 11 \times 19 \]53504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 122640 |
| Euler totient φ(n) | 23040 |
| Square | 2862678016 |
| Cube | 153164724568064 |
| Square root | 231.309317 (= 16√209) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3504 × |
53504 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand five hundred and four |
| Binary (base 2) | 1101000100000000 |
| Octal (base 8) | 150400 |
| Hexadecimal (base 16) | D100 |
| Base 3 | 2201101122 |
| As time | 53504 seconds = 14 h 51 min 44 s |
Is 53504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53504 ÷ 2 = 26752) | 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 (53504 ÷ 4 = 13376) | 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 3) | 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 | Yes (53504 ÷ 8 = 6688) | 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 | Yes (53504 ÷ 11 = 4864) | 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 53504 a prime number?
No. 53504 = × 11 × 19, so it is divisible by 2.
What are the factors of 53504?
1, 2, 4, 8, 11, 16, 19, 22, 32, 38, 44, 64, 76, 88, 128, 152, 176, 209, 256, 304, 352, 418, 608, 704, 836, 1216, 1408, 1672, 2432, 2816, 3344, 4864, 6688, 13376, 26752, 53504.
What is 53504 in binary?
1101000100000000 (hexadecimal D100, octal 150400).
What is the square root of 53504?
About 231.3093, exactly 16√209.
Is 53504 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 53504?
It is a composite number with 36 divisors.