The number 90988
90988 is a composite number with 18 divisors. Its prime factorisation is × × 43. Divisors (18): 1, 2, 4, 23, 43, 46, 86, 92, 172, 529, 989, 1058, 1978, 2116, 3956, 22747 … 90988.
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How to work it out
- 1
90988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90988 is composite. Its prime factorisation is
- 3
The divisors add up to 170324; without 90988 itself that is 79336, so 90988 is deficient (79336 is less than 90988). Euler's totient φ(90988) = 42504 numbers up to 90988 share no factor with it.
- 4
The digits of 90988 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90988 = 2^{2} \times 23^{2} \times 43 \]90988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 170324 |
| Euler totient φ(n) | 42504 |
| Square | 8278816144 |
| Cube | 753272923310272 |
| Square root | 301.642172 (= 46√43) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.0988 × |
90988 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand nine hundred and eighty-eight |
| Binary (base 2) | 10110001101101100 |
| Octal (base 8) | 261554 |
| Hexadecimal (base 16) | 1636C |
| Base 3 | 11121210221 |
| As time | 90988 seconds = 25 h 16 min 28 s |
Is 90988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90988 ÷ 2 = 45494) | 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 | Yes (90988 ÷ 4 = 22747) | 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 | 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 4) | 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 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90988 a prime number?
No. 90988 = × × 43, so it is divisible by 2.
What are the factors of 90988?
1, 2, 4, 23, 43, 46, 86, 92, 172, 529, 989, 1058, 1978, 2116, 3956, 22747, 45494, 90988.
What is 90988 in binary?
10110001101101100 (hexadecimal 1636C, octal 261554).
What is the square root of 90988?
About 301.6422, exactly 46√43.
Is 90988 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 90988?
It is a composite number with 18 divisors.