The number 50742
50742 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2819. Divisors (12): 1, 2, 3, 6, 9, 18, 2819, 5638, 8457, 16914, 25371, 50742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50742: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
50742 is composite. Its prime factorisation is
- 3
The divisors add up to 109980; without 50742 itself that is 59238, so 50742 is abundant (59238 is more than 50742). Euler's totient φ(50742) = 16908 numbers up to 50742 share no factor with it.
- 4
The digits of 50742 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 202 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50742 = 2 \times 3^{2} \times 2819 \]50742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109980 |
| Euler totient φ(n) | 16908 |
| Square | 2574750564 |
| Cube | 130647993118488 |
| Square root | 225.259850 (= 3√5638) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 202 |
| Scientific notation | 5.0742 × |
50742 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand seven hundred and forty-two |
| Binary (base 2) | 1100011000110110 |
| Octal (base 8) | 143066 |
| Hexadecimal (base 16) | C636 |
| Base 3 | 2120121100 |
| As time | 50742 seconds = 14 h 5 min 42 s |
Is 50742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50742 ÷ 2 = 25371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50742 ÷ 3 = 16914) | 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 (50742 ÷ 6 = 8457) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (50742 ÷ 9 = 5638) | 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 10) | 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 50742 a prime number?
No. 50742 = 2 × × 2819, so it is divisible by 2.
What are the factors of 50742?
1, 2, 3, 6, 9, 18, 2819, 5638, 8457, 16914, 25371, 50742.
What is 50742 in binary?
1100011000110110 (hexadecimal C636, octal 143066).
What is the square root of 50742?
About 225.2598, exactly 3√5638.
Is 50742 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 50742?
50742 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.