The number 71137
71137 is a composite number with 8 divisors. Its prime factorisation is 11 × 29 × 223. Divisors (8): 1, 11, 29, 223, 319, 2453, 6467, 71137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71137: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
71137 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 71137 itself that is 9503, so 71137 is deficient (9503 is less than 71137). Euler's totient φ(71137) = 62160 numbers up to 71137 share no factor with it.
- 4
The digits of 71137 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71137 = 11 \times 29 \times 223 \]
71137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 62160 |
| Square | 5060472769 |
| Cube | 359986851368353 |
| Square root | 266.715204 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1137 × |
71137 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand one hundred and thirty-seven |
| Binary (base 2) | 10001010111100001 |
| Octal (base 8) | 212741 |
| Hexadecimal (base 16) | 115E1 |
| Base 3 | 10121120201 |
| As time | 71137 seconds = 19 h 45 min 37 s |
Is 71137 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (71137 ÷ 11 = 6467) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71137 a prime number?
No. 71137 = 11 × 29 × 223, so it is divisible by 11.
What are the factors of 71137?
1, 11, 29, 223, 319, 2453, 6467, 71137.
What is 71137 in binary?
10001010111100001 (hexadecimal 115E1, octal 212741).
What is the square root of 71137?
About 266.7152.
Is 71137 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 71137?
71137 is a happy number: repeatedly adding the squares of its digits reaches 1.