The number 90138
90138 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 83 × 181. Divisors (16): 1, 2, 3, 6, 83, 166, 181, 249, 362, 498, 543, 1086, 15023, 30046, 45069, 90138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90138 is composite. Its prime factorisation is
- 3
The divisors add up to 183456; without 90138 itself that is 93318, so 90138 is abundant (93318 is more than 90138). Euler's totient φ(90138) = 29520 numbers up to 90138 share no factor with it.
- 4
The digits of 90138 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90138 = 2 \times 3 \times 83 \times 181 \]
90138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 183456 |
| Euler totient φ(n) | 29520 |
| Square | 8124859044 |
| Cube | 732358544508072 |
| Square root | 300.229912 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 9.0138 × |
90138 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand one hundred and thirty-eight |
| Binary (base 2) | 10110000000011010 |
| Octal (base 8) | 260032 |
| Hexadecimal (base 16) | 1601A |
| Base 3 | 11120122110 |
| As time | 90138 seconds = 25 h 2 min 18 s |
Is 90138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90138 ÷ 2 = 45069) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90138 ÷ 3 = 30046) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (90138 ÷ 6 = 15023) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 90138 a prime number?
No. 90138 = 2 × 3 × 83 × 181, so it is divisible by 2.
What are the factors of 90138?
1, 2, 3, 6, 83, 166, 181, 249, 362, 498, 543, 1086, 15023, 30046, 45069, 90138.
What is 90138 in binary?
10110000000011010 (hexadecimal 1601A, octal 260032).
What is the square root of 90138?
About 300.2299.
Is 90138 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 90138?
It is a composite number with 16 divisors.