The number 8542
8542 is a composite number with 4 divisors. Its prime factorisation is 2 × 4271. Divisors (4): 1, 2, 4271, 8542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8542: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 4271, the product of two primes.
- 2
8542 is composite. Its prime factorisation is
- 3
The divisors add up to 12816; without 8542 itself that is 4274, so 8542 is deficient (4274 is less than 8542). Euler's totient φ(8542) = 4270 numbers up to 8542 share no factor with it.
- 4
The digits of 8542 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 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8542 = 2 \times 4271 \]
8542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12816 |
| Euler totient φ(n) | 4270 |
| Square | 72965764 |
| Cube | 623273556088 |
| Square root | 92.422941 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 171 |
| Scientific notation | 8.542 × |
8542 in other forms
| Form | Value |
|---|---|
| In words | eight thousand five hundred and forty-two |
| Binary (base 2) | 10000101011110 |
| Octal (base 8) | 20536 |
| Hexadecimal (base 16) | 215E |
| Base 3 | 102201101 |
| As time | 8542 seconds = 2 h 22 min 22 s |
Is 8542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8542 ÷ 2 = 4271) | 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 | 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 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 | No (remainder 6) | 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 8542 a prime number?
No. 8542 = 2 × 4271, so it is divisible by 2.
What are the factors of 8542?
1, 2, 4271, 8542.
What is 8542 in binary?
10000101011110 (hexadecimal 215E, octal 20536).
What is the square root of 8542?
About 92.4229.
Is 8542 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8542?
8542 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 4271, the product of two primes.