The number 89121
89121 is a composite number with 8 divisors. Its prime factorisation is 3 × 61 × 487. Divisors (8): 1, 3, 61, 183, 487, 1461, 29707, 89121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
89121 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89121 is composite. Its prime factorisation is
- 3
The divisors add up to 121024; without 89121 itself that is 31903, so 89121 is deficient (31903 is less than 89121). Euler's totient φ(89121) = 58320 numbers up to 89121 share no factor with it.
- 4
The digits of 89121 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89121 = 3 \times 61 \times 487 \]
89121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 121024 |
| Euler totient φ(n) | 58320 |
| Square | 7942552641 |
| Cube | 707848233918561 |
| Square root | 298.531405 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.9121 × |
89121 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand one hundred and twenty-one |
| Binary (base 2) | 10101110000100001 |
| Octal (base 8) | 256041 |
| Hexadecimal (base 16) | 15C21 |
| Base 3 | 11112020210 |
| As time | 89121 seconds = 24 h 45 min 21 s |
Is 89121 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 (89121 ÷ 3 = 29707) | 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 | No (remainder 3) | 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 10) | 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 89121 a prime number?
No. 89121 = 3 × 61 × 487, so it is divisible by 3.
What are the factors of 89121?
1, 3, 61, 183, 487, 1461, 29707, 89121.
What is 89121 in binary?
10101110000100001 (hexadecimal 15C21, octal 256041).
What is the square root of 89121?
About 298.5314.
Is 89121 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 89121?
It is a composite number with 8 divisors.