The number 90442
90442 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 4111. Divisors (8): 1, 2, 11, 22, 4111, 8222, 45221, 90442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90442 is composite. Its prime factorisation is
- 3
The divisors add up to 148032; without 90442 itself that is 57590, so 90442 is deficient (57590 is less than 90442). Euler's totient φ(90442) = 41100 numbers up to 90442 share no factor with it.
- 4
The digits of 90442 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90442 = 2 \times 11 \times 4111 \]
90442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 148032 |
| Euler totient φ(n) | 41100 |
| Square | 8179755364 |
| Cube | 739793434630888 |
| Square root | 300.735764 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 89 |
| Scientific notation | 9.0442 × |
90442 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand four hundred and forty-two |
| Binary (base 2) | 10110000101001010 |
| Octal (base 8) | 260512 |
| Hexadecimal (base 16) | 1614A |
| Base 3 | 11121001201 |
| As time | 90442 seconds = 25 h 7 min 22 s |
Is 90442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90442 ÷ 2 = 45221) | 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 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 | Yes (90442 ÷ 11 = 8222) | 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 90442 a prime number?
No. 90442 = 2 × 11 × 4111, so it is divisible by 2.
What are the factors of 90442?
1, 2, 11, 22, 4111, 8222, 45221, 90442.
What is 90442 in binary?
10110000101001010 (hexadecimal 1614A, octal 260512).
What is the square root of 90442?
About 300.7358.
Is 90442 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 90442?
It is a composite number with 8 divisors.