The number 53712
53712 is a composite number with 30 divisors. Its prime factorisation is × × 373. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 373 … 53712.
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How to work it out
- 1
What is special about 53712: a Harshad number: divisible by its digit sum 18.
- 2
53712 is composite. Its prime factorisation is
- 3
The divisors add up to 150722; without 53712 itself that is 97010, so 53712 is abundant (97010 is more than 53712). Euler's totient φ(53712) = 17856 numbers up to 53712 share no factor with it.
- 4
The digits of 53712 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53712 = 2^{4} \times 3^{2} \times 373 \]53712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 150722 |
| Euler totient φ(n) | 17856 |
| Square | 2884978944 |
| Cube | 154957989040128 |
| Square root | 231.758495 (= 12√373) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.3712 × |
53712 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and twelve |
| Binary (base 2) | 1101000111010000 |
| Octal (base 8) | 150720 |
| Hexadecimal (base 16) | D1D0 |
| Base 3 | 2201200100 |
| As time | 53712 seconds = 14 h 55 min 12 s |
Is 53712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53712 ÷ 2 = 26856) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53712 ÷ 3 = 17904) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53712 ÷ 4 = 13428) | 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 (53712 ÷ 6 = 8952) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (53712 ÷ 8 = 6714) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53712 ÷ 9 = 5968) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53712 ÷ 12 = 4476) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53712 a prime number?
No. 53712 = × × 373, so it is divisible by 2.
What are the factors of 53712?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 373, 746, 1119, 1492, 2238, 2984, 3357, 4476, 5968, 6714, 8952, 13428, 17904, 26856, 53712.
What is 53712 in binary?
1101000111010000 (hexadecimal D1D0, octal 150720).
What is the square root of 53712?
About 231.7585, exactly 12√373.
Is 53712 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53712?
53712 is a Harshad number: divisible by its digit sum 18.