The number 53232
53232 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1109. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1109, 2218, 3327, 4436, 6654, 8872 … 53232.
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How to work it out
- 1
53232 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53232 is composite. Its prime factorisation is
- 3
The divisors add up to 137640; without 53232 itself that is 84408, so 53232 is abundant (84408 is more than 53232). Euler's totient φ(53232) = 17728 numbers up to 53232 share no factor with it.
- 4
The digits of 53232 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53232 = 2^{4} \times 3 \times 1109 \]53232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 137640 |
| Euler totient φ(n) | 17728 |
| Square | 2833645824 |
| Cube | 150840634503168 |
| Square root | 230.720610 (= 4√3327) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.3232 × |
53232 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand two hundred and thirty-two |
| Binary (base 2) | 1100111111110000 |
| Octal (base 8) | 147760 |
| Hexadecimal (base 16) | CFF0 |
| Base 3 | 2201000120 |
| As time | 53232 seconds = 14 h 47 min 12 s |
Is 53232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53232 ÷ 2 = 26616) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53232 ÷ 3 = 17744) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53232 ÷ 4 = 13308) | 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 (53232 ÷ 6 = 8872) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (53232 ÷ 8 = 6654) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53232 ÷ 12 = 4436) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53232 a prime number?
No. 53232 = × 3 × 1109, so it is divisible by 2.
What are the factors of 53232?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1109, 2218, 3327, 4436, 6654, 8872, 13308, 17744, 26616, 53232.
What is 53232 in binary?
1100111111110000 (hexadecimal CFF0, octal 147760).
What is the square root of 53232?
About 230.7206, exactly 4√3327.
Is 53232 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 53232?
It is a composite number with 20 divisors.