The number 90801
90801 is a composite number with 20 divisors. Its prime factorisation is × 19 × 59. Divisors (20): 1, 3, 9, 19, 27, 57, 59, 81, 171, 177, 513, 531, 1121, 1539, 1593, 3363 … 90801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90801 is composite. Its prime factorisation is
- 3
The divisors add up to 145200; without 90801 itself that is 54399, so 90801 is deficient (54399 is less than 90801). Euler's totient φ(90801) = 56376 numbers up to 90801 share no factor with it.
- 4
The digits of 90801 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90801 = 3^{4} \times 19 \times 59 \]90801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 145200 |
| Euler totient φ(n) | 56376 |
| Square | 8244821601 |
| Cube | 748638046192401 |
| Square root | 301.332043 (= 9√1121) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 164 |
| Scientific notation | 9.0801 × |
90801 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand eight hundred and one |
| Binary (base 2) | 10110001010110001 |
| Octal (base 8) | 261261 |
| Hexadecimal (base 16) | 162B1 |
| Base 3 | 11121120000 |
| As time | 90801 seconds = 25 h 13 min 21 s |
Is 90801 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90801 ÷ 3 = 30267) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (90801 ÷ 9 = 10089) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90801 a prime number?
No. 90801 = × 19 × 59, so it is divisible by 3.
What are the factors of 90801?
1, 3, 9, 19, 27, 57, 59, 81, 171, 177, 513, 531, 1121, 1539, 1593, 3363, 4779, 10089, 30267, 90801.
What is 90801 in binary?
10110001010110001 (hexadecimal 162B1, octal 261261).
What is the square root of 90801?
About 301.3320, exactly 9√1121.
Is 90801 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 90801?
It is a composite number with 20 divisors.