The number 90042
90042 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 43 × 349. Divisors (16): 1, 2, 3, 6, 43, 86, 129, 258, 349, 698, 1047, 2094, 15007, 30014, 45021, 90042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90042 is composite. Its prime factorisation is
- 3
The divisors add up to 184800; without 90042 itself that is 94758, so 90042 is abundant (94758 is more than 90042). Euler's totient φ(90042) = 29232 numbers up to 90042 share no factor with it.
- 4
The digits of 90042 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90042 = 2 \times 3 \times 43 \times 349 \]
90042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 184800 |
| Euler totient φ(n) | 29232 |
| Square | 8107561764 |
| Cube | 730021076354088 |
| Square root | 300.069992 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 9.0042 × |
90042 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand and forty-two |
| Binary (base 2) | 10101111110111010 |
| Octal (base 8) | 257672 |
| Hexadecimal (base 16) | 15FBA |
| Base 3 | 11120111220 |
| As time | 90042 seconds = 25 h 0 min 42 s |
Is 90042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90042 ÷ 2 = 45021) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90042 ÷ 3 = 30014) | 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 (90042 ÷ 6 = 15007) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 90042 a prime number?
No. 90042 = 2 × 3 × 43 × 349, so it is divisible by 2.
What are the factors of 90042?
1, 2, 3, 6, 43, 86, 129, 258, 349, 698, 1047, 2094, 15007, 30014, 45021, 90042.
What is 90042 in binary?
10101111110111010 (hexadecimal 15FBA, octal 257672).
What is the square root of 90042?
About 300.0700.
Is 90042 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 90042?
It is a composite number with 16 divisors.