The number 75742
75742 is a composite number with 4 divisors. Its prime factorisation is 2 × 37871. Divisors (4): 1, 2, 37871, 75742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75742: a semiprime: 2 × 37871, the product of two primes.
- 2
75742 is composite. Its prime factorisation is
- 3
The divisors add up to 113616; without 75742 itself that is 37874, so 75742 is deficient (37874 is less than 75742). Euler's totient φ(75742) = 37870 numbers up to 75742 share no factor with it.
- 4
The digits of 75742 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75742 = 2 \times 37871 \]
75742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 113616 |
| Euler totient φ(n) | 37870 |
| Square | 5736850564 |
| Cube | 434520535418488 |
| Square root | 275.212645 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.5742 × |
75742 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand seven hundred and forty-two |
| Binary (base 2) | 10010011111011110 |
| Octal (base 8) | 223736 |
| Hexadecimal (base 16) | 127DE |
| Base 3 | 10211220021 |
| As time | 75742 seconds = 21 h 2 min 22 s |
Is 75742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75742 ÷ 2 = 37871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | 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 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75742 a prime number?
No. 75742 = 2 × 37871, so it is divisible by 2.
What are the factors of 75742?
1, 2, 37871, 75742.
What is 75742 in binary?
10010011111011110 (hexadecimal 127DE, octal 223736).
What is the square root of 75742?
About 275.2126.
Is 75742 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 75742?
75742 is a semiprime: 2 × 37871, the product of two primes.