The number 89901
89901 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1427. Divisors (12): 1, 3, 7, 9, 21, 63, 1427, 4281, 9989, 12843, 29967, 89901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
89901 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89901 is composite. Its prime factorisation is
- 3
The divisors add up to 148512; without 89901 itself that is 58611, so 89901 is deficient (58611 is less than 89901). Euler's totient φ(89901) = 51336 numbers up to 89901 share no factor with it.
- 4
The digits of 89901 add up to 27, 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
\[ 89901 = 3^{2} \times 7 \times 1427 \]89901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 148512 |
| Euler totient φ(n) | 51336 |
| Square | 8082189801 |
| Cube | 726596945299701 |
| Square root | 299.834955 (= 3√9989) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.9901 × |
89901 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand nine hundred and one |
| Binary (base 2) | 10101111100101101 |
| Octal (base 8) | 257455 |
| Hexadecimal (base 16) | 15F2D |
| Base 3 | 11120022200 |
| As time | 89901 seconds = 24 h 58 min 21 s |
Is 89901 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 (89901 ÷ 3 = 29967) | 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 | Yes (89901 ÷ 7 = 12843) | 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 (89901 ÷ 9 = 9989) | 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 9) | 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 89901 a prime number?
No. 89901 = × 7 × 1427, so it is divisible by 3.
What are the factors of 89901?
1, 3, 7, 9, 21, 63, 1427, 4281, 9989, 12843, 29967, 89901.
What is 89901 in binary?
10101111100101101 (hexadecimal 15F2D, octal 257455).
What is the square root of 89901?
About 299.8350, exactly 3√9989.
Is 89901 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 89901?
It is a composite number with 12 divisors.