The number 89375
89375 is a composite number with 20 divisors. Its prime factorisation is × 11 × 13. Divisors (20): 1, 5, 11, 13, 25, 55, 65, 125, 143, 275, 325, 625, 715, 1375, 1625, 3575 … 89375.
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How to work it out
- 1
89375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
89375 is composite. Its prime factorisation is
- 3
The divisors add up to 131208; without 89375 itself that is 41833, so 89375 is deficient (41833 is less than 89375). Euler's totient φ(89375) = 60000 numbers up to 89375 share no factor with it.
- 4
The digits of 89375 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 89375 = 5^{4} \times 11 \times 13 \]89375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 131208 |
| Euler totient φ(n) | 60000 |
| Square | 7987890625 |
| Cube | 713917724609375 |
| Square root | 298.956519 (= 25√143) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 115 |
| Scientific notation | 8.9375 × |
89375 in other forms
| Form | Value |
|---|---|
| In words | eighty-nine thousand three hundred and seventy-five |
| Binary (base 2) | 10101110100011111 |
| Octal (base 8) | 256437 |
| Hexadecimal (base 16) | 15D1F |
| Base 3 | 11112121012 |
| As time | 89375 seconds = 24 h 49 min 35 s |
Is 89375 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 | No (remainder 2) | 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 | Yes (89375 ÷ 5 = 17875) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (89375 ÷ 11 = 8125) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 89375 a prime number?
No. 89375 = × 11 × 13, so it is divisible by 5.
What are the factors of 89375?
1, 5, 11, 13, 25, 55, 65, 125, 143, 275, 325, 625, 715, 1375, 1625, 3575, 6875, 8125, 17875, 89375.
What is 89375 in binary?
10101110100011111 (hexadecimal 15D1F, octal 256437).
What is the square root of 89375?
About 298.9565, exactly 25√143.
Is 89375 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 89375?
It is a composite number with 20 divisors.