The number 71357
71357 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 499. Divisors (8): 1, 11, 13, 143, 499, 5489, 6487, 71357.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71357: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71357 is composite. Its prime factorisation is
- 3
The divisors add up to 84000; without 71357 itself that is 12643, so 71357 is deficient (12643 is less than 71357). Euler's totient φ(71357) = 59760 numbers up to 71357 share no factor with it.
- 4
The digits of 71357 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 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71357 = 11 \times 13 \times 499 \]
71357 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 84000 |
| Euler totient φ(n) | 59760 |
| Square | 5091821449 |
| Cube | 363337103136293 |
| Square root | 267.127310 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.1357 × |
71357 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand three hundred and fifty-seven |
| Binary (base 2) | 10001011010111101 |
| Octal (base 8) | 213275 |
| Hexadecimal (base 16) | 116BD |
| Base 3 | 10121212212 |
| As time | 71357 seconds = 19 h 49 min 17 s |
Is 71357 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 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (71357 ÷ 11 = 6487) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71357 a prime number?
No. 71357 = 11 × 13 × 499, so it is divisible by 11.
What are the factors of 71357?
1, 11, 13, 143, 499, 5489, 6487, 71357.
What is 71357 in binary?
10001011010111101 (hexadecimal 116BD, octal 213275).
What is the square root of 71357?
About 267.1273.
Is 71357 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 71357?
71357 is a happy number: repeatedly adding the squares of its digits reaches 1.