The number 8901
8901 is a composite number with 12 divisors. Its prime factorisation is × 23 × 43. Divisors (12): 1, 3, 9, 23, 43, 69, 129, 207, 387, 989, 2967, 8901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8901 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8901 is composite. Its prime factorisation is
- 3
The divisors add up to 13728; without 8901 itself that is 4827, so 8901 is deficient (4827 is less than 8901). Euler's totient φ(8901) = 5544 numbers up to 8901 share no factor with it.
- 4
The digits of 8901 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8901 = 3^{2} \times 23 \times 43 \]8901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13728 |
| Euler totient φ(n) | 5544 |
| Square | 79227801 |
| Cube | 705206656701 |
| Square root | 94.345111 (= 3√989) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.901 × |
8901 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and one |
| Binary (base 2) | 10001011000101 |
| Octal (base 8) | 21305 |
| Hexadecimal (base 16) | 22C5 |
| Base 3 | 110012200 |
| As time | 8901 seconds = 2 h 28 min 21 s |
Is 8901 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 (8901 ÷ 3 = 2967) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8901 ÷ 9 = 989) | 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 2) | 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 8901 a prime number?
No. 8901 = × 23 × 43, so it is divisible by 3.
What are the factors of 8901?
1, 3, 9, 23, 43, 69, 129, 207, 387, 989, 2967, 8901.
What is 8901 in binary?
10001011000101 (hexadecimal 22C5, octal 21305).
What is the square root of 8901?
About 94.3451, exactly 3√989.
Is 8901 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8901?
It is a composite number with 12 divisors.