The number 85042
85042 is a composite number with 8 divisors. Its prime factorisation is 2 × 101 × 421. Divisors (8): 1, 2, 101, 202, 421, 842, 42521, 85042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 85042: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
85042 is composite. Its prime factorisation is
- 3
The divisors add up to 129132; without 85042 itself that is 44090, so 85042 is deficient (44090 is less than 85042). Euler's totient φ(85042) = 42000 numbers up to 85042 share no factor with it.
- 4
The digits of 85042 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 85042 = 2 \times 101 \times 421 \]
85042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 129132 |
| Euler totient φ(n) | 42000 |
| Square | 7232141764 |
| Cube | 615035799894088 |
| Square root | 291.619615 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.5042 × |
85042 in other forms
| Form | Value |
|---|---|
| In words | eighty-five thousand and forty-two |
| Binary (base 2) | 10100110000110010 |
| Octal (base 8) | 246062 |
| Hexadecimal (base 16) | 14C32 |
| Base 3 | 11022122201 |
| As time | 85042 seconds = 23 h 37 min 22 s |
Is 85042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (85042 ÷ 2 = 42521) | 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 6) | 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 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 1) | 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 85042 a prime number?
No. 85042 = 2 × 101 × 421, so it is divisible by 2.
What are the factors of 85042?
1, 2, 101, 202, 421, 842, 42521, 85042.
What is 85042 in binary?
10100110000110010 (hexadecimal 14C32, octal 246062).
What is the square root of 85042?
About 291.6196.
Is 85042 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 85042?
85042 is a happy number: repeatedly adding the squares of its digits reaches 1.