The number 31375
31375 is a triangular number: 1 + 2 + ā¦ + 250 = 31375. Its prime factorisation is Ć 251. Divisors (8): 1, 5, 25, 125, 251, 1255, 6275, 31375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31375: a triangular number: 1 + 2 + ā¦ + 250 = 31375.
- 2
31375 is composite. Its prime factorisation is
- 3
The divisors add up to 39312; without 31375 itself that is 7937, so 31375 is deficient (7937 is less than 31375). Euler's totient Ļ(31375) = 25000 numbers up to 31375 share no factor with it.
- 4
The digits of 31375 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31375 = 5^{3} \times 251 \]31375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39312 |
| Euler totient Ļ(n) | 25000 |
| Square | 984390625 |
| Cube | 30885255859375 |
| Square root | 177.129896 (= 5ā1255) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1375 Ć |
31375 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and seventy-five |
| Binary (base 2) | 111101010001111 |
| Octal (base 8) | 75217 |
| Hexadecimal (base 16) | 7A8F |
| Base 3 | 1121001001 |
| As time | 31375 seconds = 8 h 42 min 55 s |
Is 31375 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 (31375 Ć· 5 = 6275) | 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 1) | 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 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 3) | 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 31375 a prime number?
No. 31375 = Ć 251, so it is divisible by 5.
What are the factors of 31375?
1, 5, 25, 125, 251, 1255, 6275, 31375.
What is 31375 in binary?
111101010001111 (hexadecimal 7A8F, octal 75217).
What is the square root of 31375?
About 177.1299, exactly 5ā1255.
Is 31375 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 31375?
31375 is a triangular number: 1 + 2 + ā¦ + 250 = 31375.