The number 56442
56442 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 409. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 138, 409, 818, 1227, 2454, 9407, 18814, 28221, 56442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56442: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
56442 is composite. Its prime factorisation is
- 3
The divisors add up to 118080; without 56442 itself that is 61638, so 56442 is abundant (61638 is more than 56442). Euler's totient φ(56442) = 17952 numbers up to 56442 share no factor with it.
- 4
The digits of 56442 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56442 = 2 \times 3 \times 23 \times 409 \]
56442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 118080 |
| Euler totient φ(n) | 17952 |
| Square | 3185699364 |
| Cube | 179807243502888 |
| Square root | 237.575251 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.6442 × |
56442 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand four hundred and forty-two |
| Binary (base 2) | 1101110001111010 |
| Octal (base 8) | 156172 |
| Hexadecimal (base 16) | DC7A |
| Base 3 | 2212102110 |
| As time | 56442 seconds = 15 h 40 min 42 s |
Is 56442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56442 ÷ 2 = 28221) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56442 ÷ 3 = 18814) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (56442 ÷ 6 = 9407) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56442 a prime number?
No. 56442 = 2 × 3 × 23 × 409, so it is divisible by 2.
What are the factors of 56442?
1, 2, 3, 6, 23, 46, 69, 138, 409, 818, 1227, 2454, 9407, 18814, 28221, 56442.
What is 56442 in binary?
1101110001111010 (hexadecimal DC7A, octal 156172).
What is the square root of 56442?
About 237.5753.
Is 56442 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 56442?
56442 is a happy number: repeatedly adding the squares of its digits reaches 1.