The number 50724
50724 is a composite number with 18 divisors. Its prime factorisation is × × 1409. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1409, 2818, 4227, 5636, 8454, 12681, 16908 … 50724.
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How to work it out
- 1
What is special about 50724: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
50724 is composite. Its prime factorisation is
- 3
The divisors add up to 128310; without 50724 itself that is 77586, so 50724 is abundant (77586 is more than 50724). Euler's totient φ(50724) = 16896 numbers up to 50724 share no factor with it.
- 4
The digits of 50724 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50724 = 2^{2} \times 3^{2} \times 1409 \]50724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 128310 |
| Euler totient φ(n) | 16896 |
| Square | 2572924176 |
| Cube | 130509005903424 |
| Square root | 225.219893 (= 6√1409) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 5.0724 × |
50724 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand seven hundred and twenty-four |
| Binary (base 2) | 1100011000100100 |
| Octal (base 8) | 143044 |
| Hexadecimal (base 16) | C624 |
| Base 3 | 2120120200 |
| As time | 50724 seconds = 14 h 5 min 24 s |
Is 50724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50724 ÷ 2 = 25362) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50724 ÷ 3 = 16908) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50724 ÷ 4 = 12681) | 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 (50724 ÷ 6 = 8454) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (50724 ÷ 9 = 5636) | 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 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50724 ÷ 12 = 4227) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50724 a prime number?
No. 50724 = × × 1409, so it is divisible by 2.
What are the factors of 50724?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1409, 2818, 4227, 5636, 8454, 12681, 16908, 25362, 50724.
What is 50724 in binary?
1100011000100100 (hexadecimal C624, octal 143044).
What is the square root of 50724?
About 225.2199, exactly 6√1409.
Is 50724 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50724?
50724 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.