The number 31350
31350 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × × 11 × 19. Divisors (48): 1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 25, 30, 33, 38, 50, 55 … 31350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 31350: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
31350 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 31350 itself that is 57930, so 31350 is abundant (57930 is more than 31350). Euler's totient φ(31350) = 7200 numbers up to 31350 share no factor with it.
- 4
The digits of 31350 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31350 = 2 \times 3 \times 5^{2} \times 11 \times 19 \]31350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 7200 |
| Square | 982822500 |
| Cube | 30811485375000 |
| Square root | 177.059312 (= 5√1254) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.135 × |
31350 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand three hundred and fifty |
| Binary (base 2) | 111101001110110 |
| Octal (base 8) | 75166 |
| Hexadecimal (base 16) | 7A76 |
| Base 3 | 1121000010 |
| As time | 31350 seconds = 8 h 42 min 30 s |
Is 31350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31350 ÷ 2 = 15675) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (31350 ÷ 3 = 10450) | 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 (31350 ÷ 5 = 6270) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (31350 ÷ 6 = 5225) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (31350 ÷ 10 = 3135) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (31350 ÷ 11 = 2850) | 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 31350 a prime number?
No. 31350 = 2 × 3 × × 11 × 19, so it is divisible by 2.
What are the factors of 31350?
1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 25, 30, 33, 38, 50, 55, 57, 66, 75, 95, 110, 114, 150, 165, 190, 209, 275, 285, 330, 418, 475, 550, 570, 627, 825, 950, 1045, 1254, 1425, 1650, 2090, 2850, 3135, 5225, 6270, 10450, 15675, 31350.
What is 31350 in binary?
111101001110110 (hexadecimal 7A76, octal 75166).
What is the square root of 31350?
About 177.0593, exactly 5√1254.
Is 31350 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 31350?
31350 is a happy number: repeatedly adding the squares of its digits reaches 1.