The number 56142
56142 is a composite number with 12 divisors. Its prime factorisation is 2 × × 3119. Divisors (12): 1, 2, 3, 6, 9, 18, 3119, 6238, 9357, 18714, 28071, 56142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 56142: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
56142 is composite. Its prime factorisation is
- 3
The divisors add up to 121680; without 56142 itself that is 65538, so 56142 is abundant (65538 is more than 56142). Euler's totient φ(56142) = 18708 numbers up to 56142 share no factor with it.
- 4
The digits of 56142 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56142 = 2 \times 3^{2} \times 3119 \]56142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 121680 |
| Euler totient φ(n) | 18708 |
| Square | 3151924164 |
| Cube | 176955326415288 |
| Square root | 236.943031 (= 3√6238) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.6142 × |
56142 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand one hundred and forty-two |
| Binary (base 2) | 1101101101001110 |
| Octal (base 8) | 155516 |
| Hexadecimal (base 16) | DB4E |
| Base 3 | 2212000100 |
| As time | 56142 seconds = 15 h 35 min 42 s |
Is 56142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56142 ÷ 2 = 28071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56142 ÷ 3 = 18714) | 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 (56142 ÷ 6 = 9357) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (56142 ÷ 9 = 6238) | 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 9) | 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 56142 a prime number?
No. 56142 = 2 × × 3119, so it is divisible by 2.
What are the factors of 56142?
1, 2, 3, 6, 9, 18, 3119, 6238, 9357, 18714, 28071, 56142.
What is 56142 in binary?
1101101101001110 (hexadecimal DB4E, octal 155516).
What is the square root of 56142?
About 236.9430, exactly 3√6238.
Is 56142 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 56142?
56142 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.