The number 71748
71748 is a composite number with 18 divisors. Its prime factorisation is × × 1993. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1993, 3986, 5979, 7972, 11958, 17937, 23916 … 71748.
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How to work it out
- 1
71748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71748 is composite. Its prime factorisation is
- 3
The divisors add up to 181454; without 71748 itself that is 109706, so 71748 is abundant (109706 is more than 71748). Euler's totient φ(71748) = 23904 numbers up to 71748 share no factor with it.
- 4
The digits of 71748 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71748 = 2^{2} \times 3^{2} \times 1993 \]71748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 181454 |
| Euler totient φ(n) | 23904 |
| Square | 5147775504 |
| Cube | 369342596860992 |
| Square root | 267.858171 (= 6√1993) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1748 × |
71748 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand seven hundred and forty-eight |
| Binary (base 2) | 10001100001000100 |
| Octal (base 8) | 214104 |
| Hexadecimal (base 16) | 11844 |
| Base 3 | 10122102100 |
| As time | 71748 seconds = 19 h 55 min 48 s |
Is 71748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71748 ÷ 2 = 35874) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71748 ÷ 3 = 23916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71748 ÷ 4 = 17937) | 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 | Yes (71748 ÷ 6 = 11958) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71748 ÷ 9 = 7972) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71748 ÷ 12 = 5979) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71748 a prime number?
No. 71748 = × × 1993, so it is divisible by 2.
What are the factors of 71748?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1993, 3986, 5979, 7972, 11958, 17937, 23916, 35874, 71748.
What is 71748 in binary?
10001100001000100 (hexadecimal 11844, octal 214104).
What is the square root of 71748?
About 267.8582, exactly 6√1993.
Is 71748 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 71748?
It is a composite number with 18 divisors.