The number 71248
71248 is a composite number with 20 divisors. Its prime factorisation is × 61 × 73. Divisors (20): 1, 2, 4, 8, 16, 61, 73, 122, 146, 244, 292, 488, 584, 976, 1168, 4453 … 71248.
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How to work it out
- 1
71248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71248 is composite. Its prime factorisation is
- 3
The divisors add up to 142228; without 71248 itself that is 70980, so 71248 is deficient (70980 is less than 71248). Euler's totient φ(71248) = 34560 numbers up to 71248 share no factor with it.
- 4
The digits of 71248 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71248 = 2^{4} \times 61 \times 73 \]71248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 142228 |
| Euler totient φ(n) | 34560 |
| Square | 5076277504 |
| Cube | 361674619604992 |
| Square root | 266.923210 (= 4√4453) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.1248 × |
71248 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand two hundred and forty-eight |
| Binary (base 2) | 10001011001010000 |
| Octal (base 8) | 213120 |
| Hexadecimal (base 16) | 11650 |
| Base 3 | 10121201211 |
| As time | 71248 seconds = 19 h 47 min 28 s |
Is 71248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71248 ÷ 2 = 35624) | 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 | Yes (71248 ÷ 4 = 17812) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 2) | 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 | Yes (71248 ÷ 8 = 8906) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71248 a prime number?
No. 71248 = × 61 × 73, so it is divisible by 2.
What are the factors of 71248?
1, 2, 4, 8, 16, 61, 73, 122, 146, 244, 292, 488, 584, 976, 1168, 4453, 8906, 17812, 35624, 71248.
What is 71248 in binary?
10001011001010000 (hexadecimal 11650, octal 213120).
What is the square root of 71248?
About 266.9232, exactly 4√4453.
Is 71248 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 71248?
It is a composite number with 20 divisors.