The number 71643
71643 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 167. Divisors (16): 1, 3, 11, 13, 33, 39, 143, 167, 429, 501, 1837, 2171, 5511, 6513, 23881, 71643.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71643 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71643 is composite. Its prime factorisation is
- 3
The divisors add up to 112896; without 71643 itself that is 41253, so 71643 is deficient (41253 is less than 71643). Euler's totient φ(71643) = 39840 numbers up to 71643 share no factor with it.
- 4
The digits of 71643 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71643 = 3 \times 11 \times 13 \times 167 \]
71643 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 112896 |
| Euler totient φ(n) | 39840 |
| Square | 5132719449 |
| Cube | 367723419484707 |
| Square root | 267.662100 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.1643 × |
71643 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand six hundred and forty-three |
| Binary (base 2) | 10001011111011011 |
| Octal (base 8) | 213733 |
| Hexadecimal (base 16) | 117DB |
| Base 3 | 10122021110 |
| As time | 71643 seconds = 19 h 54 min 3 s |
Is 71643 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 | Yes (71643 ÷ 3 = 23881) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (71643 ÷ 11 = 6513) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71643 a prime number?
No. 71643 = 3 × 11 × 13 × 167, so it is divisible by 3.
What are the factors of 71643?
1, 3, 11, 13, 33, 39, 143, 167, 429, 501, 1837, 2171, 5511, 6513, 23881, 71643.
What is 71643 in binary?
10001011111011011 (hexadecimal 117DB, octal 213733).
What is the square root of 71643?
About 267.6621.
Is 71643 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 71643?
It is a composite number with 16 divisors.