The number 75250
75250 is a composite number with 32 divisors. Its prime factorisation is 2 × × 7 × 43. Divisors (32): 1, 2, 5, 7, 10, 14, 25, 35, 43, 50, 70, 86, 125, 175, 215, 250 … 75250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75250: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
75250 is composite. Its prime factorisation is
- 3
The divisors add up to 164736; without 75250 itself that is 89486, so 75250 is abundant (89486 is more than 75250). Euler's totient φ(75250) = 25200 numbers up to 75250 share no factor with it.
- 4
The digits of 75250 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75250 = 2 \times 5^{3} \times 7 \times 43 \]75250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 164736 |
| Euler totient φ(n) | 25200 |
| Square | 5662562500 |
| Cube | 426107828125000 |
| Square root | 274.317334 (= 5√3010) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.525 × |
75250 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand two hundred and fifty |
| Binary (base 2) | 10010010111110010 |
| Octal (base 8) | 222762 |
| Hexadecimal (base 16) | 125F2 |
| Base 3 | 10211020001 |
| As time | 75250 seconds = 20 h 54 min 10 s |
Is 75250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75250 ÷ 2 = 37625) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (75250 ÷ 5 = 15050) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (75250 ÷ 7 = 10750) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (75250 ÷ 10 = 7525) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75250 a prime number?
No. 75250 = 2 × × 7 × 43, so it is divisible by 2.
What are the factors of 75250?
1, 2, 5, 7, 10, 14, 25, 35, 43, 50, 70, 86, 125, 175, 215, 250, 301, 350, 430, 602, 875, 1075, 1505, 1750, 2150, 3010, 5375, 7525, 10750, 15050, 37625, 75250.
What is 75250 in binary?
10010010111110010 (hexadecimal 125F2, octal 222762).
What is the square root of 75250?
About 274.3173, exactly 5√3010.
Is 75250 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 75250?
75250 is a happy number: repeatedly adding the squares of its digits reaches 1.