The number 75642
75642 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1801. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1801, 3602, 5403, 10806, 12607, 25214, 37821, 75642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75642: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
75642 is composite. Its prime factorisation is
- 3
The divisors add up to 172992; without 75642 itself that is 97350, so 75642 is abundant (97350 is more than 75642). Euler's totient φ(75642) = 21600 numbers up to 75642 share no factor with it.
- 4
The digits of 75642 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75642 = 2 \times 3 \times 7 \times 1801 \]
75642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 172992 |
| Euler totient φ(n) | 21600 |
| Square | 5721712164 |
| Cube | 432801751509288 |
| Square root | 275.030907 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.5642 × |
75642 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand six hundred and forty-two |
| Binary (base 2) | 10010011101111010 |
| Octal (base 8) | 223572 |
| Hexadecimal (base 16) | 1277A |
| Base 3 | 10211202120 |
| As time | 75642 seconds = 21 h 0 min 42 s |
Is 75642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75642 ÷ 2 = 37821) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (75642 ÷ 3 = 25214) | 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 (75642 ÷ 6 = 12607) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (75642 ÷ 7 = 10806) | 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 6) | 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 6) | 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 75642 a prime number?
No. 75642 = 2 × 3 × 7 × 1801, so it is divisible by 2.
What are the factors of 75642?
1, 2, 3, 6, 7, 14, 21, 42, 1801, 3602, 5403, 10806, 12607, 25214, 37821, 75642.
What is 75642 in binary?
10010011101111010 (hexadecimal 1277A, octal 223572).
What is the square root of 75642?
About 275.0309.
Is 75642 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 75642?
75642 is a happy number: repeatedly adding the squares of its digits reaches 1.