The number 31025
31025 is a composite number with 12 divisors. Its prime factorisation is × 17 × 73. Divisors (12): 1, 5, 17, 25, 73, 85, 365, 425, 1241, 1825, 6205, 31025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31025 is composite. Its prime factorisation is
- 3
The divisors add up to 41292; without 31025 itself that is 10267, so 31025 is deficient (10267 is less than 31025). Euler's totient φ(31025) = 23040 numbers up to 31025 share no factor with it.
- 4
The digits of 31025 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
\[ 31025 = 5^{2} \times 17 \times 73 \]31025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 41292 |
| Euler totient φ(n) | 23040 |
| Square | 962550625 |
| Cube | 29863133140625 |
| Square root | 176.139150 (= 5√1241) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1025 × |
31025 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and twenty-five |
| Binary (base 2) | 111100100110001 |
| Octal (base 8) | 74461 |
| Hexadecimal (base 16) | 7931 |
| Base 3 | 1120120002 |
| As time | 31025 seconds = 8 h 37 min 5 s |
Is 31025 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 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (31025 ÷ 5 = 6205) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31025 a prime number?
No. 31025 = × 17 × 73, so it is divisible by 5.
What are the factors of 31025?
1, 5, 17, 25, 73, 85, 365, 425, 1241, 1825, 6205, 31025.
What is 31025 in binary?
111100100110001 (hexadecimal 7931, octal 74461).
What is the square root of 31025?
About 176.1391, exactly 5√1241.
Is 31025 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 31025?
It is a composite number with 12 divisors.