The number 31050
31050 is a composite number with 48 divisors. Its prime factorisation is 2 × × × 23. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 25, 27, 30, 45, 46, 50 … 31050.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31050: a Harshad number: divisible by its digit sum 9.
- 2
31050 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 31050 itself that is 58230, so 31050 is abundant (58230 is more than 31050). Euler's totient φ(31050) = 7920 numbers up to 31050 share no factor with it.
- 4
The digits of 31050 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31050 = 2 \times 3^{3} \times 5^{2} \times 23 \]31050 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 7920 |
| Square | 964102500 |
| Cube | 29935382625000 |
| Square root | 176.210102 (= 15√138) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.105 × |
31050 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and fifty |
| Binary (base 2) | 111100101001010 |
| Octal (base 8) | 74512 |
| Hexadecimal (base 16) | 794A |
| Base 3 | 1120121000 |
| As time | 31050 seconds = 8 h 37 min 30 s |
Is 31050 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31050 ÷ 2 = 15525) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31050 ÷ 3 = 10350) | 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 (31050 ÷ 5 = 6210) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31050 ÷ 6 = 5175) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (31050 ÷ 9 = 3450) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (31050 ÷ 10 = 3105) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31050 a prime number?
No. 31050 = 2 × × × 23, so it is divisible by 2.
What are the factors of 31050?
1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 25, 27, 30, 45, 46, 50, 54, 69, 75, 90, 115, 135, 138, 150, 207, 225, 230, 270, 345, 414, 450, 575, 621, 675, 690, 1035, 1150, 1242, 1350, 1725, 2070, 3105, 3450, 5175, 6210, 10350, 15525, 31050.
What is 31050 in binary?
111100101001010 (hexadecimal 794A, octal 74512).
What is the square root of 31050?
About 176.2101, exactly 15√138.
Is 31050 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 31050?
31050 is a Harshad number: divisible by its digit sum 9.