The number 31250
31250 is a composite number with 14 divisors. Its prime factorisation is 2 × . Divisors (14): 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250, 15625, 31250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31250 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31250 is composite. Its prime factorisation is
- 3
The divisors add up to 58593; without 31250 itself that is 27343, so 31250 is deficient (27343 is less than 31250). Euler's totient φ(31250) = 12500 numbers up to 31250 share no factor with it.
- 4
The digits of 31250 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31250 = 2 \times 5^{6} \]31250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 58593 |
| Euler totient φ(n) | 12500 |
| Square | 976562500 |
| Cube | 30517578125000 |
| Square root | 176.776695 (= 125√2) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.125 × |
31250 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and fifty |
| Binary (base 2) | 111101000010010 |
| Octal (base 8) | 75022 |
| Hexadecimal (base 16) | 7A12 |
| Base 3 | 1120212102 |
| As time | 31250 seconds = 8 h 40 min 50 s |
Is 31250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31250 ÷ 2 = 15625) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31250 ÷ 5 = 6250) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (31250 ÷ 10 = 3125) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31250 a prime number?
No. 31250 = 2 × , so it is divisible by 2.
What are the factors of 31250?
1, 2, 5, 10, 25, 50, 125, 250, 625, 1250, 3125, 6250, 15625, 31250.
What is 31250 in binary?
111101000010010 (hexadecimal 7A12, octal 75022).
What is the square root of 31250?
About 176.7767, exactly 125√2.
Is 31250 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 31250?
It is a composite number with 14 divisors.