The number 71048
71048 is a composite number with 16 divisors. Its prime factorisation is × 83 × 107. Divisors (16): 1, 2, 4, 8, 83, 107, 166, 214, 332, 428, 664, 856, 8881, 17762, 35524, 71048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71048: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71048 is composite. Its prime factorisation is
- 3
The divisors add up to 136080; without 71048 itself that is 65032, so 71048 is deficient (65032 is less than 71048). Euler's totient φ(71048) = 34768 numbers up to 71048 share no factor with it.
- 4
The digits of 71048 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71048 = 2^{3} \times 83 \times 107 \]71048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 136080 |
| Euler totient φ(n) | 34768 |
| Square | 5047818304 |
| Cube | 358637394862592 |
| Square root | 266.548307 (= 2√17762) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.1048 × |
71048 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and forty-eight |
| Binary (base 2) | 10001010110001000 |
| Octal (base 8) | 212610 |
| Hexadecimal (base 16) | 11588 |
| Base 3 | 10121110102 |
| As time | 71048 seconds = 19 h 44 min 8 s |
Is 71048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71048 ÷ 2 = 35524) | 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 | Yes (71048 ÷ 4 = 17762) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (71048 ÷ 8 = 8881) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71048 a prime number?
No. 71048 = × 83 × 107, so it is divisible by 2.
What are the factors of 71048?
1, 2, 4, 8, 83, 107, 166, 214, 332, 428, 664, 856, 8881, 17762, 35524, 71048.
What is 71048 in binary?
10001010110001000 (hexadecimal 11588, octal 212610).
What is the square root of 71048?
About 266.5483, exactly 2√17762.
Is 71048 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 71048?
71048 is a happy number: repeatedly adding the squares of its digits reaches 1.