The number 75342
75342 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 29 × 433. Divisors (16): 1, 2, 3, 6, 29, 58, 87, 174, 433, 866, 1299, 2598, 12557, 25114, 37671, 75342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75342: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
75342 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 75342 itself that is 80898, so 75342 is abundant (80898 is more than 75342). Euler's totient φ(75342) = 24192 numbers up to 75342 share no factor with it.
- 4
The digits of 75342 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75342 = 2 \times 3 \times 29 \times 433 \]
75342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 24192 |
| Square | 5676416964 |
| Cube | 427672606901688 |
| Square root | 274.484972 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.5342 × |
75342 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand three hundred and forty-two |
| Binary (base 2) | 10010011001001110 |
| Octal (base 8) | 223116 |
| Hexadecimal (base 16) | 1264E |
| Base 3 | 10211100110 |
| As time | 75342 seconds = 20 h 55 min 42 s |
Is 75342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75342 ÷ 2 = 37671) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (75342 ÷ 3 = 25114) | 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 (75342 ÷ 6 = 12557) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | 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 3) | 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 75342 a prime number?
No. 75342 = 2 × 3 × 29 × 433, so it is divisible by 2.
What are the factors of 75342?
1, 2, 3, 6, 29, 58, 87, 174, 433, 866, 1299, 2598, 12557, 25114, 37671, 75342.
What is 75342 in binary?
10010011001001110 (hexadecimal 1264E, octal 223116).
What is the square root of 75342?
About 274.4850.
Is 75342 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 75342?
75342 is a happy number: repeatedly adding the squares of its digits reaches 1.