The number 87971
87971 is a composite number with 8 divisors. Its prime factorisation is 13 × 67 × 101. Divisors (8): 1, 13, 67, 101, 871, 1313, 6767, 87971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87971 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87971 is composite. Its prime factorisation is
- 3
The divisors add up to 97104; without 87971 itself that is 9133, so 87971 is deficient (9133 is less than 87971). Euler's totient φ(87971) = 79200 numbers up to 87971 share no factor with it.
- 4
The digits of 87971 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87971 = 13 \times 67 \times 101 \]
87971 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 97104 |
| Euler totient φ(n) | 79200 |
| Square | 7738896841 |
| Cube | 680798493999611 |
| Square root | 296.599056 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.7971 × |
87971 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand nine hundred and seventy-one |
| Binary (base 2) | 10101011110100011 |
| Octal (base 8) | 253643 |
| Hexadecimal (base 16) | 157A3 |
| Base 3 | 11110200012 |
| As time | 87971 seconds = 24 h 26 min 11 s |
Is 87971 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87971 a prime number?
No. 87971 = 13 × 67 × 101, so it is divisible by 13.
What are the factors of 87971?
1, 13, 67, 101, 871, 1313, 6767, 87971.
What is 87971 in binary?
10101011110100011 (hexadecimal 157A3, octal 253643).
What is the square root of 87971?
About 296.5991.
Is 87971 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 87971?
It is a composite number with 8 divisors.