The number 83375
83375 is a composite number with 16 divisors. Its prime factorisation is × 23 × 29. Divisors (16): 1, 5, 23, 25, 29, 115, 125, 145, 575, 667, 725, 2875, 3335, 3625, 16675, 83375.
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How to work it out
- 1
83375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83375 is composite. Its prime factorisation is
- 3
The divisors add up to 112320; without 83375 itself that is 28945, so 83375 is deficient (28945 is less than 83375). Euler's totient φ(83375) = 61600 numbers up to 83375 share no factor with it.
- 4
The digits of 83375 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83375 = 5^{3} \times 23 \times 29 \]83375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 112320 |
| Euler totient φ(n) | 61600 |
| Square | 6951390625 |
| Cube | 579572193359375 |
| Square root | 288.747294 (= 5√3335) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3375 × |
83375 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and seventy-five |
| Binary (base 2) | 10100010110101111 |
| Octal (base 8) | 242657 |
| Hexadecimal (base 16) | 145AF |
| Base 3 | 11020100222 |
| As time | 83375 seconds = 23 h 9 min 35 s |
Is 83375 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 (83375 ÷ 5 = 16675) | 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 5) | 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 8) | 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 | No (remainder 6) | 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 83375 a prime number?
No. 83375 = × 23 × 29, so it is divisible by 5.
What are the factors of 83375?
1, 5, 23, 25, 29, 115, 125, 145, 575, 667, 725, 2875, 3335, 3625, 16675, 83375.
What is 83375 in binary?
10100010110101111 (hexadecimal 145AF, octal 242657).
What is the square root of 83375?
About 288.7473, exactly 5√3335.
Is 83375 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 83375?
It is a composite number with 16 divisors.