The number 71072
71072 is a composite number with 12 divisors. Its prime factorisation is × 2221. Divisors (12): 1, 2, 4, 8, 16, 32, 2221, 4442, 8884, 17768, 35536, 71072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71072: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71072 is composite. Its prime factorisation is
- 3
The divisors add up to 139986; without 71072 itself that is 68914, so 71072 is deficient (68914 is less than 71072). Euler's totient φ(71072) = 35520 numbers up to 71072 share no factor with it.
- 4
The digits of 71072 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71072 = 2^{5} \times 2221 \]71072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 139986 |
| Euler totient φ(n) | 35520 |
| Square | 5051229184 |
| Cube | 359000960565248 |
| Square root | 266.593323 (= 4√4442) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.1072 × |
71072 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and seventy-two |
| Binary (base 2) | 10001010110100000 |
| Octal (base 8) | 212640 |
| Hexadecimal (base 16) | 115A0 |
| Base 3 | 10121111022 |
| As time | 71072 seconds = 19 h 44 min 32 s |
Is 71072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71072 ÷ 2 = 35536) | 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 (71072 ÷ 4 = 17768) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 1) | 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 (71072 ÷ 8 = 8884) | 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 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71072 a prime number?
No. 71072 = × 2221, so it is divisible by 2.
What are the factors of 71072?
1, 2, 4, 8, 16, 32, 2221, 4442, 8884, 17768, 35536, 71072.
What is 71072 in binary?
10001010110100000 (hexadecimal 115A0, octal 212640).
What is the square root of 71072?
About 266.5933, exactly 4√4442.
Is 71072 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 71072?
71072 is a happy number: repeatedly adding the squares of its digits reaches 1.