The number 53721
53721 is a composite number with 12 divisors. Its prime factorisation is × 47 × 127. Divisors (12): 1, 3, 9, 47, 127, 141, 381, 423, 1143, 5969, 17907, 53721.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53721 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53721 is composite. Its prime factorisation is
- 3
The divisors add up to 79872; without 53721 itself that is 26151, so 53721 is deficient (26151 is less than 53721). Euler's totient φ(53721) = 34776 numbers up to 53721 share no factor with it.
- 4
The digits of 53721 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53721 = 3^{2} \times 47 \times 127 \]53721 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 79872 |
| Euler totient φ(n) | 34776 |
| Square | 2885945841 |
| Cube | 155035896524361 |
| Square root | 231.777911 (= 3√5969) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3721 × |
53721 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and twenty-one |
| Binary (base 2) | 1101000111011001 |
| Octal (base 8) | 150731 |
| Hexadecimal (base 16) | D1D9 |
| Base 3 | 2201200200 |
| As time | 53721 seconds = 14 h 55 min 21 s |
Is 53721 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53721 ÷ 3 = 17907) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53721 ÷ 9 = 5969) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53721 a prime number?
No. 53721 = × 47 × 127, so it is divisible by 3.
What are the factors of 53721?
1, 3, 9, 47, 127, 141, 381, 423, 1143, 5969, 17907, 53721.
What is 53721 in binary?
1101000111011001 (hexadecimal D1D9, octal 150731).
What is the square root of 53721?
About 231.7779, exactly 3√5969.
Is 53721 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53721?
It is a composite number with 12 divisors.