The number 89667
89667 is a composite number with 16 divisors. Its prime factorisation is × 41. Divisors (16): 1, 3, 9, 27, 41, 81, 123, 243, 369, 729, 1107, 2187, 3321, 9963, 29889, 89667.
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How to work it out
- 1
89667 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89667 is composite. Its prime factorisation is
- 3
The divisors add up to 137760; without 89667 itself that is 48093, so 89667 is deficient (48093 is less than 89667). Euler's totient φ(89667) = 58320 numbers up to 89667 share no factor with it.
- 4
The digits of 89667 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89667 = 3^{7} \times 41 \]89667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 137760 |
| Euler totient φ(n) | 58320 |
| Square | 8040170889 |
| Cube | 720938003103963 |
| Square root | 299.444486 (= 27√123) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.9667 × |
89667 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand six hundred and sixty-seven |
| Binary (base 2) | 10101111001000011 |
| Octal (base 8) | 257103 |
| Hexadecimal (base 16) | 15E43 |
| Base 3 | 11120000000 |
| As time | 89667 seconds = 24 h 54 min 27 s |
Is 89667 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 (89667 ÷ 3 = 29889) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (89667 ÷ 9 = 9963) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89667 a prime number?
No. 89667 = × 41, so it is divisible by 3.
What are the factors of 89667?
1, 3, 9, 27, 41, 81, 123, 243, 369, 729, 1107, 2187, 3321, 9963, 29889, 89667.
What is 89667 in binary?
10101111001000011 (hexadecimal 15E43, octal 257103).
What is the square root of 89667?
About 299.4445, exactly 27√123.
Is 89667 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 89667?
It is a composite number with 16 divisors.