The number 53724
53724 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 37. Divisors (36): 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 121, 132 … 53724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53724: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
53724 is composite. Its prime factorisation is
- 3
The divisors add up to 141512; without 53724 itself that is 87788, so 53724 is abundant (87788 is more than 53724). Euler's totient φ(53724) = 15840 numbers up to 53724 share no factor with it.
- 4
The digits of 53724 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
\[ 53724 = 2^{2} \times 3 \times 11^{2} \times 37 \]53724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 141512 |
| Euler totient φ(n) | 15840 |
| Square | 2886268176 |
| Cube | 155061871487424 |
| Square root | 231.784383 (= 22√111) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3724 × |
53724 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and twenty-four |
| Binary (base 2) | 1101000111011100 |
| Octal (base 8) | 150734 |
| Hexadecimal (base 16) | D1DC |
| Base 3 | 2201200210 |
| As time | 53724 seconds = 14 h 55 min 24 s |
Is 53724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53724 ÷ 2 = 26862) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53724 ÷ 3 = 17908) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53724 ÷ 4 = 13431) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53724 ÷ 6 = 8954) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (53724 ÷ 11 = 4884) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (53724 ÷ 12 = 4477) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53724 a prime number?
No. 53724 = × 3 × × 37, so it is divisible by 2.
What are the factors of 53724?
1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 121, 132, 148, 222, 242, 363, 407, 444, 484, 726, 814, 1221, 1452, 1628, 2442, 4477, 4884, 8954, 13431, 17908, 26862, 53724.
What is 53724 in binary?
1101000111011100 (hexadecimal D1DC, octal 150734).
What is the square root of 53724?
About 231.7844, exactly 22√111.
Is 53724 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53724?
53724 is a happy number: repeatedly adding the squares of its digits reaches 1.