The number 71875
71875 is a composite number with 12 divisors. Its prime factorisation is Ć 23. Divisors (12): 1, 5, 23, 25, 115, 125, 575, 625, 2875, 3125, 14375, 71875.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71875: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71875 is composite. Its prime factorisation is
- 3
The divisors add up to 93744; without 71875 itself that is 21869, so 71875 is deficient (21869 is less than 71875). Euler's totient Ļ(71875) = 55000 numbers up to 71875 share no factor with it.
- 4
The digits of 71875 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71875 = 5^{5} \times 23 \]71875 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93744 |
| Euler totient Ļ(n) | 55000 |
| Square | 5166015625 |
| Cube | 371307373046875 |
| Square root | 268.095132 (= 25ā115) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.1875 Ć |
71875 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand eight hundred and seventy-five |
| Binary (base 2) | 10001100011000011 |
| Octal (base 8) | 214303 |
| Hexadecimal (base 16) | 118C3 |
| Base 3 | 10122121001 |
| As time | 71875 seconds = 19 h 57 min 55 s |
Is 71875 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 1) | 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 (71875 Ć· 5 = 14375) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71875 a prime number?
No. 71875 = Ć 23, so it is divisible by 5.
What are the factors of 71875?
1, 5, 23, 25, 115, 125, 575, 625, 2875, 3125, 14375, 71875.
What is 71875 in binary?
10001100011000011 (hexadecimal 118C3, octal 214303).
What is the square root of 71875?
About 268.0951, exactly 25ā115.
Is 71875 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 71875?
71875 is a happy number: repeatedly adding the squares of its digits reaches 1.