The number 71225
71225 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 37. Divisors (24): 1, 5, 7, 11, 25, 35, 37, 55, 77, 175, 185, 259, 275, 385, 407, 925 … 71225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71225 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71225 is composite. Its prime factorisation is
- 3
The divisors add up to 113088; without 71225 itself that is 41863, so 71225 is deficient (41863 is less than 71225). Euler's totient φ(71225) = 43200 numbers up to 71225 share no factor with it.
- 4
The digits of 71225 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71225 = 5^{2} \times 7 \times 11 \times 37 \]71225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 113088 |
| Euler totient φ(n) | 43200 |
| Square | 5073000625 |
| Cube | 361324469515625 |
| Square root | 266.880123 (= 5√2849) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 73 |
| Scientific notation | 7.1225 × |
71225 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand two hundred and twenty-five |
| Binary (base 2) | 10001011000111001 |
| Octal (base 8) | 213071 |
| Hexadecimal (base 16) | 11639 |
| Base 3 | 10121200222 |
| As time | 71225 seconds = 19 h 47 min 5 s |
Is 71225 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 (71225 ÷ 5 = 14245) | 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 | Yes (71225 ÷ 7 = 10175) | 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 8) | 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 | Yes (71225 ÷ 11 = 6475) | 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 71225 a prime number?
No. 71225 = × 7 × 11 × 37, so it is divisible by 5.
What are the factors of 71225?
1, 5, 7, 11, 25, 35, 37, 55, 77, 175, 185, 259, 275, 385, 407, 925, 1295, 1925, 2035, 2849, 6475, 10175, 14245, 71225.
What is 71225 in binary?
10001011000111001 (hexadecimal 11639, octal 213071).
What is the square root of 71225?
About 266.8801, exactly 5√2849.
Is 71225 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 71225?
It is a composite number with 24 divisors.