The number 90848
90848 is a composite number with 24 divisors. Its prime factorisation is × 17 × 167. Divisors (24): 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 167, 272, 334, 544, 668, 1336 … 90848.
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How to work it out
- 1
90848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90848 is composite. Its prime factorisation is
- 3
The divisors add up to 190512; without 90848 itself that is 99664, so 90848 is abundant (99664 is more than 90848). Euler's totient φ(90848) = 42496 numbers up to 90848 share no factor with it.
- 4
The digits of 90848 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90848 = 2^{5} \times 17 \times 167 \]90848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 190512 |
| Euler totient φ(n) | 42496 |
| Square | 8253359104 |
| Cube | 749801167880192 |
| Square root | 301.410020 (= 4√5678) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 133 |
| Scientific notation | 9.0848 × |
90848 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand eight hundred and forty-eight |
| Binary (base 2) | 10110001011100000 |
| Octal (base 8) | 261340 |
| Hexadecimal (base 16) | 162E0 |
| Base 3 | 11121121202 |
| As time | 90848 seconds = 25 h 14 min 8 s |
Is 90848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90848 ÷ 2 = 45424) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (90848 ÷ 4 = 22712) | 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 2) | 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 | Yes (90848 ÷ 8 = 11356) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90848 a prime number?
No. 90848 = × 17 × 167, so it is divisible by 2.
What are the factors of 90848?
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 167, 272, 334, 544, 668, 1336, 2672, 2839, 5344, 5678, 11356, 22712, 45424, 90848.
What is 90848 in binary?
10110001011100000 (hexadecimal 162E0, octal 261340).
What is the square root of 90848?
About 301.4100, exactly 4√5678.
Is 90848 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 90848?
It is a composite number with 24 divisors.