The number 73750
73750 is a composite number with 20 divisors. Its prime factorisation is 2 × × 59. Divisors (20): 1, 2, 5, 10, 25, 50, 59, 118, 125, 250, 295, 590, 625, 1250, 1475, 2950 … 73750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73750 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73750 is composite. Its prime factorisation is
- 3
The divisors add up to 140580; without 73750 itself that is 66830, so 73750 is deficient (66830 is less than 73750). Euler's totient φ(73750) = 29000 numbers up to 73750 share no factor with it.
- 4
The digits of 73750 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73750 = 2 \times 5^{4} \times 59 \]73750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 140580 |
| Euler totient φ(n) | 29000 |
| Square | 5439062500 |
| Cube | 401130859375000 |
| Square root | 271.569512 (= 25√118) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.375 × |
73750 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and fifty |
| Binary (base 2) | 10010000000010110 |
| Octal (base 8) | 220026 |
| Hexadecimal (base 16) | 12016 |
| Base 3 | 10202011111 |
| As time | 73750 seconds = 20 h 29 min 10 s |
Is 73750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73750 ÷ 2 = 36875) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73750 ÷ 5 = 14750) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73750 ÷ 10 = 7375) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73750 a prime number?
No. 73750 = 2 × × 59, so it is divisible by 2.
What are the factors of 73750?
1, 2, 5, 10, 25, 50, 59, 118, 125, 250, 295, 590, 625, 1250, 1475, 2950, 7375, 14750, 36875, 73750.
What is 73750 in binary?
10010000000010110 (hexadecimal 12016, octal 220026).
What is the square root of 73750?
About 271.5695, exactly 25√118.
Is 73750 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73750?
It is a composite number with 20 divisors.