The number 71344
71344 is a composite number with 40 divisors. Its prime factorisation is × × 13. Divisors (40): 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 49, 52, 56, 91, 98, 104 … 71344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71344: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71344 is composite. Its prime factorisation is
- 3
The divisors add up to 173600; without 71344 itself that is 102256, so 71344 is abundant (102256 is more than 71344). Euler's totient φ(71344) = 28224 numbers up to 71344 share no factor with it.
- 4
The digits of 71344 add up to 19, 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
\[ 71344 = 2^{4} \times 7^{3} \times 13 \]71344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 173600 |
| Euler totient φ(n) | 28224 |
| Square | 5089966336 |
| Cube | 363138558275584 |
| Square root | 267.102976 (= 28√91) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.1344 × |
71344 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and forty-four |
| Binary (base 2) | 10001011010110000 |
| Octal (base 8) | 213260 |
| Hexadecimal (base 16) | 116B0 |
| Base 3 | 10121212101 |
| As time | 71344 seconds = 19 h 49 min 4 s |
Is 71344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71344 ÷ 2 = 35672) | 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 (71344 ÷ 4 = 17836) | 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 | Yes (71344 ÷ 7 = 10192) | 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 (71344 ÷ 8 = 8918) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 71344 a prime number?
No. 71344 = × × 13, so it is divisible by 2.
What are the factors of 71344?
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 343, 364, 392, 637, 686, 728, 784, 1274, 1372, 1456, 2548, 2744, 4459, 5096, 5488, 8918, 10192, 17836, 35672, 71344.
What is 71344 in binary?
10001011010110000 (hexadecimal 116B0, octal 213260).
What is the square root of 71344?
About 267.1030, exactly 28√91.
Is 71344 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 71344?
71344 is a happy number: repeatedly adding the squares of its digits reaches 1.