The number 75842
75842 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 2917. Divisors (8): 1, 2, 13, 26, 2917, 5834, 37921, 75842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75842: a Harshad number: divisible by its digit sum 26.
- 2
75842 is composite. Its prime factorisation is
- 3
The divisors add up to 122556; without 75842 itself that is 46714, so 75842 is deficient (46714 is less than 75842). Euler's totient φ(75842) = 34992 numbers up to 75842 share no factor with it.
- 4
The digits of 75842 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75842 = 2 \times 13 \times 2917 \]
75842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 122556 |
| Euler totient φ(n) | 34992 |
| Square | 5752008964 |
| Cube | 436243863847688 |
| Square root | 275.394263 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.5842 × |
75842 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand eight hundred and forty-two |
| Binary (base 2) | 10010100001000010 |
| Octal (base 8) | 224102 |
| Hexadecimal (base 16) | 12842 |
| Base 3 | 10212000222 |
| As time | 75842 seconds = 21 h 4 min 2 s |
Is 75842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75842 ÷ 2 = 37921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75842 a prime number?
No. 75842 = 2 × 13 × 2917, so it is divisible by 2.
What are the factors of 75842?
1, 2, 13, 26, 2917, 5834, 37921, 75842.
What is 75842 in binary?
10010100001000010 (hexadecimal 12842, octal 224102).
What is the square root of 75842?
About 275.3943.
Is 75842 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 75842?
75842 is a Harshad number: divisible by its digit sum 26.