The number 71744
71744 is a composite number with 28 divisors. Its prime factorisation is × 19 × 59. Divisors (28): 1, 2, 4, 8, 16, 19, 32, 38, 59, 64, 76, 118, 152, 236, 304, 472 … 71744.
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How to work it out
- 1
71744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71744 is composite. Its prime factorisation is
- 3
The divisors add up to 152400; without 71744 itself that is 80656, so 71744 is abundant (80656 is more than 71744). Euler's totient φ(71744) = 33408 numbers up to 71744 share no factor with it.
- 4
The digits of 71744 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71744 = 2^{6} \times 19 \times 59 \]71744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 152400 |
| Euler totient φ(n) | 33408 |
| Square | 5147201536 |
| Cube | 369280826998784 |
| Square root | 267.850705 (= 8√1121) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1744 × |
71744 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand seven hundred and forty-four |
| Binary (base 2) | 10001100001000000 |
| Octal (base 8) | 214100 |
| Hexadecimal (base 16) | 11840 |
| Base 3 | 10122102012 |
| As time | 71744 seconds = 19 h 55 min 44 s |
Is 71744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71744 ÷ 2 = 35872) | 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 (71744 ÷ 4 = 17936) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (71744 ÷ 8 = 8968) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 71744 a prime number?
No. 71744 = × 19 × 59, so it is divisible by 2.
What are the factors of 71744?
1, 2, 4, 8, 16, 19, 32, 38, 59, 64, 76, 118, 152, 236, 304, 472, 608, 944, 1121, 1216, 1888, 2242, 3776, 4484, 8968, 17936, 35872, 71744.
What is 71744 in binary?
10001100001000000 (hexadecimal 11840, octal 214100).
What is the square root of 71744?
About 267.8507, exactly 8√1121.
Is 71744 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 71744?
It is a composite number with 28 divisors.