The number 90742
90742 is a composite number with 8 divisors. Its prime factorisation is 2 × 59 × 769. Divisors (8): 1, 2, 59, 118, 769, 1538, 45371, 90742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90742 is composite. Its prime factorisation is
- 3
The divisors add up to 138600; without 90742 itself that is 47858, so 90742 is deficient (47858 is less than 90742). Euler's totient φ(90742) = 44544 numbers up to 90742 share no factor with it.
- 4
The digits of 90742 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90742 = 2 \times 59 \times 769 \]
90742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 138600 |
| Euler totient φ(n) | 44544 |
| Square | 8234110564 |
| Cube | 747179660798488 |
| Square root | 301.234128 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.0742 × |
90742 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand seven hundred and forty-two |
| Binary (base 2) | 10110001001110110 |
| Octal (base 8) | 261166 |
| Hexadecimal (base 16) | 16276 |
| Base 3 | 11121110211 |
| As time | 90742 seconds = 25 h 12 min 22 s |
Is 90742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90742 ÷ 2 = 45371) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | 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 90742 a prime number?
No. 90742 = 2 × 59 × 769, so it is divisible by 2.
What are the factors of 90742?
1, 2, 59, 118, 769, 1538, 45371, 90742.
What is 90742 in binary?
10110001001110110 (hexadecimal 16276, octal 261166).
What is the square root of 90742?
About 301.2341.
Is 90742 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 90742?
It is a composite number with 8 divisors.