The number 53772
53772 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4481. Divisors (12): 1, 2, 3, 4, 6, 12, 4481, 8962, 13443, 17924, 26886, 53772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53772 is composite. Its prime factorisation is
- 3
The divisors add up to 125496; without 53772 itself that is 71724, so 53772 is abundant (71724 is more than 53772). Euler's totient φ(53772) = 17920 numbers up to 53772 share no factor with it.
- 4
The digits of 53772 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53772 = 2^{2} \times 3 \times 4481 \]53772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 125496 |
| Euler totient φ(n) | 17920 |
| Square | 2891427984 |
| Cube | 155477865555648 |
| Square root | 231.887904 (= 2√13443) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.3772 × |
53772 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and seventy-two |
| Binary (base 2) | 1101001000001100 |
| Octal (base 8) | 151014 |
| Hexadecimal (base 16) | D20C |
| Base 3 | 2201202120 |
| As time | 53772 seconds = 14 h 56 min 12 s |
Is 53772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53772 ÷ 2 = 26886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53772 ÷ 3 = 17924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53772 ÷ 4 = 13443) | 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 (53772 ÷ 6 = 8962) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53772 ÷ 12 = 4481) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53772 a prime number?
No. 53772 = × 3 × 4481, so it is divisible by 2.
What are the factors of 53772?
1, 2, 3, 4, 6, 12, 4481, 8962, 13443, 17924, 26886, 53772.
What is 53772 in binary?
1101001000001100 (hexadecimal D20C, octal 151014).
What is the square root of 53772?
About 231.8879, exactly 2√13443.
Is 53772 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 53772?
It is a composite number with 12 divisors.