The number 73875
73875 is a composite number with 16 divisors. Its prime factorisation is 3 × × 197. Divisors (16): 1, 3, 5, 15, 25, 75, 125, 197, 375, 591, 985, 2955, 4925, 14775, 24625, 73875.
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How to work it out
- 1
73875 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73875 is composite. Its prime factorisation is
- 3
The divisors add up to 123552; without 73875 itself that is 49677, so 73875 is deficient (49677 is less than 73875). Euler's totient φ(73875) = 39200 numbers up to 73875 share no factor with it.
- 4
The digits of 73875 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73875 = 3 \times 5^{3} \times 197 \]73875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123552 |
| Euler totient φ(n) | 39200 |
| Square | 5457515625 |
| Cube | 403173966796875 |
| Square root | 271.799558 (= 5√2955) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.3875 × |
73875 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and seventy-five |
| Binary (base 2) | 10010000010010011 |
| Octal (base 8) | 220223 |
| Hexadecimal (base 16) | 12093 |
| Base 3 | 10202100010 |
| As time | 73875 seconds = 20 h 31 min 15 s |
Is 73875 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 (73875 ÷ 3 = 24625) | 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 (73875 ÷ 5 = 14775) | 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 | No (remainder 3) | 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 10) | 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 73875 a prime number?
No. 73875 = 3 × × 197, so it is divisible by 3.
What are the factors of 73875?
1, 3, 5, 15, 25, 75, 125, 197, 375, 591, 985, 2955, 4925, 14775, 24625, 73875.
What is 73875 in binary?
10010000010010011 (hexadecimal 12093, octal 220223).
What is the square root of 73875?
About 271.7996, exactly 5√2955.
Is 73875 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 73875?
It is a composite number with 16 divisors.