The number 56424
56424 is a composite number with 16 divisors. Its prime factorisation is × 3 × 2351. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 2351, 4702, 7053, 9404, 14106, 18808, 28212, 56424.
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How to work it out
- 1
What is special about 56424: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
56424 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 56424 itself that is 84696, so 56424 is abundant (84696 is more than 56424). Euler's totient φ(56424) = 18800 numbers up to 56424 share no factor with it.
- 4
The digits of 56424 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 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56424 = 2^{3} \times 3 \times 2351 \]56424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 18800 |
| Square | 3183667776 |
| Cube | 179635270593024 |
| Square root | 237.537365 (= 2√14106) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.6424 × |
56424 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand four hundred and twenty-four |
| Binary (base 2) | 1101110001101000 |
| Octal (base 8) | 156150 |
| Hexadecimal (base 16) | DC68 |
| Base 3 | 2212101210 |
| As time | 56424 seconds = 15 h 40 min 24 s |
Is 56424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56424 ÷ 2 = 28212) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56424 ÷ 3 = 18808) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56424 ÷ 4 = 14106) | 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 (56424 ÷ 6 = 9404) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (56424 ÷ 8 = 7053) | 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 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (56424 ÷ 12 = 4702) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56424 a prime number?
No. 56424 = × 3 × 2351, so it is divisible by 2.
What are the factors of 56424?
1, 2, 3, 4, 6, 8, 12, 24, 2351, 4702, 7053, 9404, 14106, 18808, 28212, 56424.
What is 56424 in binary?
1101110001101000 (hexadecimal DC68, octal 156150).
What is the square root of 56424?
About 237.5374, exactly 2√14106.
Is 56424 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 56424?
56424 is a happy number: repeatedly adding the squares of its digits reaches 1.