The number 90142
90142 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 3467. Divisors (8): 1, 2, 13, 26, 3467, 6934, 45071, 90142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90142 is composite. Its prime factorisation is
- 3
The divisors add up to 145656; without 90142 itself that is 55514, so 90142 is deficient (55514 is less than 90142). Euler's totient φ(90142) = 41592 numbers up to 90142 share no factor with it.
- 4
The digits of 90142 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90142 = 2 \times 13 \times 3467 \]
90142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 145656 |
| Euler totient φ(n) | 41592 |
| Square | 8125580164 |
| Cube | 732456047143288 |
| Square root | 300.236573 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 9.0142 × |
90142 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand one hundred and forty-two |
| Binary (base 2) | 10110000000011110 |
| Octal (base 8) | 260036 |
| Hexadecimal (base 16) | 1601E |
| Base 3 | 11120122121 |
| As time | 90142 seconds = 25 h 2 min 22 s |
Is 90142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90142 ÷ 2 = 45071) | 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 3) | 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 7) | 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 8) | 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 90142 a prime number?
No. 90142 = 2 × 13 × 3467, so it is divisible by 2.
What are the factors of 90142?
1, 2, 13, 26, 3467, 6934, 45071, 90142.
What is 90142 in binary?
10110000000011110 (hexadecimal 1601E, octal 260036).
What is the square root of 90142?
About 300.2366.
Is 90142 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 90142?
It is a composite number with 8 divisors.