The number 71121
71121 is a composite number with 8 divisors. Its prime factorisation is 3 × 151 × 157. Divisors (8): 1, 3, 151, 157, 453, 471, 23707, 71121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71121 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71121 is composite. Its prime factorisation is
- 3
The divisors add up to 96064; without 71121 itself that is 24943, so 71121 is deficient (24943 is less than 71121). Euler's totient φ(71121) = 46800 numbers up to 71121 share no factor with it.
- 4
The digits of 71121 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71121 = 3 \times 151 \times 157 \]
71121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 96064 |
| Euler totient φ(n) | 46800 |
| Square | 5058196641 |
| Cube | 359744003304561 |
| Square root | 266.685208 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.1121 × |
71121 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand one hundred and twenty-one |
| Binary (base 2) | 10001010111010001 |
| Octal (base 8) | 212721 |
| Hexadecimal (base 16) | 115D1 |
| Base 3 | 10121120010 |
| As time | 71121 seconds = 19 h 45 min 21 s |
Is 71121 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 (71121 ÷ 3 = 23707) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71121 a prime number?
No. 71121 = 3 × 151 × 157, so it is divisible by 3.
What are the factors of 71121?
1, 3, 151, 157, 453, 471, 23707, 71121.
What is 71121 in binary?
10001010111010001 (hexadecimal 115D1, octal 212721).
What is the square root of 71121?
About 266.6852.
Is 71121 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 71121?
It is a composite number with 8 divisors.