The number 71250
71250 is a composite number with 40 divisors. Its prime factorisation is 2 × 3 × × 19. Divisors (40): 1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114 … 71250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71250: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.
- 2
71250 is composite. Its prime factorisation is
- 3
The divisors add up to 187440; without 71250 itself that is 116190, so 71250 is abundant (116190 is more than 71250). Euler's totient φ(71250) = 18000 numbers up to 71250 share no factor with it.
- 4
The digits of 71250 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71250 = 2 \times 3 \times 5^{4} \times 19 \]71250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 187440 |
| Euler totient φ(n) | 18000 |
| Square | 5076562500 |
| Cube | 361705078125000 |
| Square root | 266.926956 (= 25√114) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 7.125 × |
71250 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand two hundred and fifty |
| Binary (base 2) | 10001011001010010 |
| Octal (base 8) | 213122 |
| Hexadecimal (base 16) | 11652 |
| Base 3 | 10121201220 |
| As time | 71250 seconds = 19 h 47 min 30 s |
Is 71250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71250 ÷ 2 = 35625) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71250 ÷ 3 = 23750) | 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 (71250 ÷ 5 = 14250) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71250 ÷ 6 = 11875) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71250 ÷ 10 = 7125) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71250 a prime number?
No. 71250 = 2 × 3 × × 19, so it is divisible by 2.
What are the factors of 71250?
1, 2, 3, 5, 6, 10, 15, 19, 25, 30, 38, 50, 57, 75, 95, 114, 125, 150, 190, 250, 285, 375, 475, 570, 625, 750, 950, 1250, 1425, 1875, 2375, 2850, 3750, 4750, 7125, 11875, 14250, 23750, 35625, 71250.
What is 71250 in binary?
10001011001010010 (hexadecimal 11652, octal 213122).
What is the square root of 71250?
About 266.9270, exactly 25√114.
Is 71250 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 71250?
71250 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 15.