The number 80542
80542 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 523. Divisors (16): 1, 2, 7, 11, 14, 22, 77, 154, 523, 1046, 3661, 5753, 7322, 11506, 40271, 80542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80542: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80542 is composite. Its prime factorisation is
- 3
The divisors add up to 150912; without 80542 itself that is 70370, so 80542 is deficient (70370 is less than 80542). Euler's totient φ(80542) = 31320 numbers up to 80542 share no factor with it.
- 4
The digits of 80542 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80542 = 2 \times 7 \times 11 \times 523 \]
80542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 150912 |
| Euler totient φ(n) | 31320 |
| Square | 6487013764 |
| Cube | 522477062580088 |
| Square root | 283.799225 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.0542 × |
80542 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand five hundred and forty-two |
| Binary (base 2) | 10011101010011110 |
| Octal (base 8) | 235236 |
| Hexadecimal (base 16) | 13A9E |
| Base 3 | 11002111001 |
| As time | 80542 seconds = 22 h 22 min 22 s |
Is 80542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80542 ÷ 2 = 40271) | 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 | Yes (80542 ÷ 7 = 11506) | 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 1) | 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 (80542 ÷ 11 = 7322) | 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 80542 a prime number?
No. 80542 = 2 × 7 × 11 × 523, so it is divisible by 2.
What are the factors of 80542?
1, 2, 7, 11, 14, 22, 77, 154, 523, 1046, 3661, 5753, 7322, 11506, 40271, 80542.
What is 80542 in binary?
10011101010011110 (hexadecimal 13A9E, octal 235236).
What is the square root of 80542?
About 283.7992.
Is 80542 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 80542?
80542 is a happy number: repeatedly adding the squares of its digits reaches 1.