The number 71331
71331 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 31 × 59. Divisors (16): 1, 3, 13, 31, 39, 59, 93, 177, 403, 767, 1209, 1829, 2301, 5487, 23777, 71331.
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How to work it out
- 1
71331 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71331 is composite. Its prime factorisation is
- 3
The divisors add up to 107520; without 71331 itself that is 36189, so 71331 is deficient (36189 is less than 71331). Euler's totient φ(71331) = 41760 numbers up to 71331 share no factor with it.
- 4
The digits of 71331 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71331 = 3 \times 13 \times 31 \times 59 \]
71331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 107520 |
| Euler totient φ(n) | 41760 |
| Square | 5088111561 |
| Cube | 362940085757691 |
| Square root | 267.078640 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.1331 × |
71331 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and thirty-one |
| Binary (base 2) | 10001011010100011 |
| Octal (base 8) | 213243 |
| Hexadecimal (base 16) | 116A3 |
| Base 3 | 10121211220 |
| As time | 71331 seconds = 19 h 48 min 51 s |
Is 71331 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71331 ÷ 3 = 23777) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71331 a prime number?
No. 71331 = 3 × 13 × 31 × 59, so it is divisible by 3.
What are the factors of 71331?
1, 3, 13, 31, 39, 59, 93, 177, 403, 767, 1209, 1829, 2301, 5487, 23777, 71331.
What is 71331 in binary?
10001011010100011 (hexadecimal 116A3, octal 213243).
What is the square root of 71331?
About 267.0786.
Is 71331 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 71331?
It is a composite number with 16 divisors.