The number 71104
71104 is a composite number with 28 divisors. Its prime factorisation is × 11 × 101. Divisors (28): 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 101, 176, 202, 352, 404 … 71104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71104 is composite. Its prime factorisation is
- 3
The divisors add up to 155448; without 71104 itself that is 84344, so 71104 is abundant (84344 is more than 71104). Euler's totient φ(71104) = 32000 numbers up to 71104 share no factor with it.
- 4
The digits of 71104 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71104 = 2^{6} \times 11 \times 101 \]71104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 155448 |
| Euler totient φ(n) | 32000 |
| Square | 5055778816 |
| Cube | 359486096932864 |
| Square root | 266.653333 (= 8√1111) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.1104 × |
71104 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand one hundred and four |
| Binary (base 2) | 10001010111000000 |
| Octal (base 8) | 212700 |
| Hexadecimal (base 16) | 115C0 |
| Base 3 | 10121112111 |
| As time | 71104 seconds = 19 h 45 min 4 s |
Is 71104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71104 ÷ 2 = 35552) | 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 (71104 ÷ 4 = 17776) | 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 4) | 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 | Yes (71104 ÷ 8 = 8888) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (71104 ÷ 11 = 6464) | 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 71104 a prime number?
No. 71104 = × 11 × 101, so it is divisible by 2.
What are the factors of 71104?
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 101, 176, 202, 352, 404, 704, 808, 1111, 1616, 2222, 3232, 4444, 6464, 8888, 17776, 35552, 71104.
What is 71104 in binary?
10001010111000000 (hexadecimal 115C0, octal 212700).
What is the square root of 71104?
About 266.6533, exactly 8√1111.
Is 71104 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 71104?
It is a composite number with 28 divisors.