The number 56742
56742 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 193. Divisors (24): 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 193, 294, 386, 579, 1158 … 56742.
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How to work it out
- 1
What is special about 56742: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
56742 is composite. Its prime factorisation is
- 3
The divisors add up to 132696; without 56742 itself that is 75954, so 56742 is abundant (75954 is more than 56742). Euler's totient φ(56742) = 16128 numbers up to 56742 share no factor with it.
- 4
The digits of 56742 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
\[ 56742 = 2 \times 3 \times 7^{2} \times 193 \]56742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 132696 |
| Euler totient φ(n) | 16128 |
| Square | 3219654564 |
| Cube | 182689639270488 |
| Square root | 238.205793 (= 7√1158) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.6742 × |
56742 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand seven hundred and forty-two |
| Binary (base 2) | 1101110110100110 |
| Octal (base 8) | 156646 |
| Hexadecimal (base 16) | DDA6 |
| Base 3 | 2212211120 |
| As time | 56742 seconds = 15 h 45 min 42 s |
Is 56742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56742 ÷ 2 = 28371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56742 ÷ 3 = 18914) | 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 (56742 ÷ 6 = 9457) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (56742 ÷ 7 = 8106) | 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 | No (remainder 6) | 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 4) | 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 56742 a prime number?
No. 56742 = 2 × 3 × × 193, so it is divisible by 2.
What are the factors of 56742?
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 193, 294, 386, 579, 1158, 1351, 2702, 4053, 8106, 9457, 18914, 28371, 56742.
What is 56742 in binary?
1101110110100110 (hexadecimal DDA6, octal 156646).
What is the square root of 56742?
About 238.2058, exactly 7√1158.
Is 56742 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 56742?
56742 is a happy number: repeatedly adding the squares of its digits reaches 1.