The number 75042
75042 is a composite number with 24 divisors. Its prime factorisation is 2 × × 11 × 379. Divisors (24): 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 379, 758, 1137, 2274 … 75042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75042: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
75042 is composite. Its prime factorisation is
- 3
The divisors add up to 177840; without 75042 itself that is 102798, so 75042 is abundant (102798 is more than 75042). Euler's totient φ(75042) = 22680 numbers up to 75042 share no factor with it.
- 4
The digits of 75042 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75042 = 2 \times 3^{2} \times 11 \times 379 \]75042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 177840 |
| Euler totient φ(n) | 22680 |
| Square | 5631301764 |
| Cube | 422584146974088 |
| Square root | 273.937949 (= 3√8338) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.5042 × |
75042 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand and forty-two |
| Binary (base 2) | 10010010100100010 |
| Octal (base 8) | 222442 |
| Hexadecimal (base 16) | 12522 |
| Base 3 | 10210221100 |
| As time | 75042 seconds = 20 h 50 min 42 s |
Is 75042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75042 ÷ 2 = 37521) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (75042 ÷ 3 = 25014) | 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 (75042 ÷ 6 = 12507) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (75042 ÷ 9 = 8338) | 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 | Yes (75042 ÷ 11 = 6822) | 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 75042 a prime number?
No. 75042 = 2 × × 11 × 379, so it is divisible by 2.
What are the factors of 75042?
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 379, 758, 1137, 2274, 3411, 4169, 6822, 8338, 12507, 25014, 37521, 75042.
What is 75042 in binary?
10010010100100010 (hexadecimal 12522, octal 222442).
What is the square root of 75042?
About 273.9379, exactly 3√8338.
Is 75042 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 75042?
75042 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.