The number 71488
71488 is a composite number with 14 divisors. Its prime factorisation is × 1117. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 1117, 2234, 4468, 8936, 17872, 35744, 71488.
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How to work it out
- 1
71488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71488 is composite. Its prime factorisation is
- 3
The divisors add up to 141986; without 71488 itself that is 70498, so 71488 is deficient (70498 is less than 71488). Euler's totient φ(71488) = 35712 numbers up to 71488 share no factor with it.
- 4
The digits of 71488 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71488 = 2^{6} \times 1117 \]71488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 141986 |
| Euler totient φ(n) | 35712 |
| Square | 5110534144 |
| Cube | 365341864886272 |
| Square root | 267.372399 (= 8√1117) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1488 × |
71488 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and eighty-eight |
| Binary (base 2) | 10001011101000000 |
| Octal (base 8) | 213500 |
| Hexadecimal (base 16) | 11740 |
| Base 3 | 10122001201 |
| As time | 71488 seconds = 19 h 51 min 28 s |
Is 71488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71488 ÷ 2 = 35744) | 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 (71488 ÷ 4 = 17872) | 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 4) | 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 (71488 ÷ 8 = 8936) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71488 a prime number?
No. 71488 = × 1117, so it is divisible by 2.
What are the factors of 71488?
1, 2, 4, 8, 16, 32, 64, 1117, 2234, 4468, 8936, 17872, 35744, 71488.
What is 71488 in binary?
10001011101000000 (hexadecimal 11740, octal 213500).
What is the square root of 71488?
About 267.3724, exactly 8√1117.
Is 71488 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 71488?
It is a composite number with 14 divisors.