The number 56724
56724 is a composite number with 24 divisors. Its prime factorisation is × 3 × 29 × 163. Divisors (24): 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 163, 174, 326, 348, 489, 652 … 56724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56724: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
56724 is composite. Its prime factorisation is
- 3
The divisors add up to 137760; without 56724 itself that is 81036, so 56724 is abundant (81036 is more than 56724). Euler's totient φ(56724) = 18144 numbers up to 56724 share no factor with it.
- 4
The digits of 56724 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56724 = 2^{2} \times 3 \times 29 \times 163 \]56724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 137760 |
| Euler totient φ(n) | 18144 |
| Square | 3217612176 |
| Cube | 182515833071424 |
| Square root | 238.168008 (= 2√14181) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.6724 × |
56724 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand seven hundred and twenty-four |
| Binary (base 2) | 1101110110010100 |
| Octal (base 8) | 156624 |
| Hexadecimal (base 16) | DD94 |
| Base 3 | 2212210220 |
| As time | 56724 seconds = 15 h 45 min 24 s |
Is 56724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56724 ÷ 2 = 28362) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56724 ÷ 3 = 18908) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56724 ÷ 4 = 14181) | 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 (56724 ÷ 6 = 9454) | 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 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 4) | 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 | Yes (56724 ÷ 12 = 4727) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56724 a prime number?
No. 56724 = × 3 × 29 × 163, so it is divisible by 2.
What are the factors of 56724?
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 163, 174, 326, 348, 489, 652, 978, 1956, 4727, 9454, 14181, 18908, 28362, 56724.
What is 56724 in binary?
1101110110010100 (hexadecimal DD94, octal 156624).
What is the square root of 56724?
About 238.1680, exactly 2√14181.
Is 56724 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 56724?
56724 is a happy number: repeatedly adding the squares of its digits reaches 1.