The number 71324
71324 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1621. Divisors (12): 1, 2, 4, 11, 22, 44, 1621, 3242, 6484, 17831, 35662, 71324.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71324: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71324 is composite. Its prime factorisation is
- 3
The divisors add up to 136248; without 71324 itself that is 64924, so 71324 is deficient (64924 is less than 71324). Euler's totient φ(71324) = 32400 numbers up to 71324 share no factor with it.
- 4
The digits of 71324 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71324 = 2^{2} \times 11 \times 1621 \]71324 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 136248 |
| Euler totient φ(n) | 32400 |
| Square | 5087112976 |
| Cube | 362833245900224 |
| Square root | 267.065535 (= 2√17831) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.1324 × |
71324 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and twenty-four |
| Binary (base 2) | 10001011010011100 |
| Octal (base 8) | 213234 |
| Hexadecimal (base 16) | 1169C |
| Base 3 | 10121211122 |
| As time | 71324 seconds = 19 h 48 min 44 s |
Is 71324 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71324 ÷ 2 = 35662) | 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 (71324 ÷ 4 = 17831) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 (71324 ÷ 11 = 6484) | 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 71324 a prime number?
No. 71324 = × 11 × 1621, so it is divisible by 2.
What are the factors of 71324?
1, 2, 4, 11, 22, 44, 1621, 3242, 6484, 17831, 35662, 71324.
What is 71324 in binary?
10001011010011100 (hexadecimal 1169C, octal 213234).
What is the square root of 71324?
About 267.0655, exactly 2√17831.
Is 71324 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 71324?
71324 is a happy number: repeatedly adding the squares of its digits reaches 1.