The number 53788
53788 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 113. Divisors (24): 1, 2, 4, 7, 14, 17, 28, 34, 68, 113, 119, 226, 238, 452, 476, 791 … 53788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53788 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 53788 itself that is 61124, so 53788 is abundant (61124 is more than 53788). Euler's totient φ(53788) = 21504 numbers up to 53788 share no factor with it.
- 4
The digits of 53788 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 215 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53788 = 2^{2} \times 7 \times 17 \times 113 \]53788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 21504 |
| Square | 2893148944 |
| Cube | 155616695399872 |
| Square root | 231.922401 (= 2√13447) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 215 |
| Scientific notation | 5.3788 × |
53788 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and eighty-eight |
| Binary (base 2) | 1101001000011100 |
| Octal (base 8) | 151034 |
| Hexadecimal (base 16) | D21C |
| Base 3 | 2201210011 |
| As time | 53788 seconds = 14 h 56 min 28 s |
Is 53788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53788 ÷ 2 = 26894) | 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 (53788 ÷ 4 = 13447) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 (53788 ÷ 7 = 7684) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 53788 a prime number?
No. 53788 = × 7 × 17 × 113, so it is divisible by 2.
What are the factors of 53788?
1, 2, 4, 7, 14, 17, 28, 34, 68, 113, 119, 226, 238, 452, 476, 791, 1582, 1921, 3164, 3842, 7684, 13447, 26894, 53788.
What is 53788 in binary?
1101001000011100 (hexadecimal D21C, octal 151034).
What is the square root of 53788?
About 231.9224, exactly 2√13447.
Is 53788 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 53788?
It is a composite number with 24 divisors.