The number 53832
53832 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2243. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2243, 4486, 6729, 8972, 13458, 17944, 26916, 53832.
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How to work it out
- 1
53832 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53832 is composite. Its prime factorisation is
- 3
The divisors add up to 134640; without 53832 itself that is 80808, so 53832 is abundant (80808 is more than 53832). Euler's totient φ(53832) = 17936 numbers up to 53832 share no factor with it.
- 4
The digits of 53832 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53832 = 2^{3} \times 3 \times 2243 \]53832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 134640 |
| Euler totient φ(n) | 17936 |
| Square | 2897884224 |
| Cube | 155998903546368 |
| Square root | 232.017241 (= 2√13458) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3832 × |
53832 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand eight hundred and thirty-two |
| Binary (base 2) | 1101001001001000 |
| Octal (base 8) | 151110 |
| Hexadecimal (base 16) | D248 |
| Base 3 | 2201211210 |
| As time | 53832 seconds = 14 h 57 min 12 s |
Is 53832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53832 ÷ 2 = 26916) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53832 ÷ 3 = 17944) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53832 ÷ 4 = 13458) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53832 ÷ 6 = 8972) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (53832 ÷ 8 = 6729) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (53832 ÷ 12 = 4486) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53832 a prime number?
No. 53832 = × 3 × 2243, so it is divisible by 2.
What are the factors of 53832?
1, 2, 3, 4, 6, 8, 12, 24, 2243, 4486, 6729, 8972, 13458, 17944, 26916, 53832.
What is 53832 in binary?
1101001001001000 (hexadecimal D248, octal 151110).
What is the square root of 53832?
About 232.0172, exactly 2√13458.
Is 53832 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53832?
It is a composite number with 16 divisors.