The number 87101
87101 is a composite number with 8 divisors. Its prime factorisation is 7 × 23 × 541. Divisors (8): 1, 7, 23, 161, 541, 3787, 12443, 87101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87101 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87101 is composite. Its prime factorisation is
- 3
The divisors add up to 104064; without 87101 itself that is 16963, so 87101 is deficient (16963 is less than 87101). Euler's totient φ(87101) = 71280 numbers up to 87101 share no factor with it.
- 4
The digits of 87101 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87101 = 7 \times 23 \times 541 \]
87101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 104064 |
| Euler totient φ(n) | 71280 |
| Square | 7586584201 |
| Cube | 660799070491301 |
| Square root | 295.128785 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.7101 × |
87101 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and one |
| Binary (base 2) | 10101010000111101 |
| Octal (base 8) | 252075 |
| Hexadecimal (base 16) | 1543D |
| Base 3 | 11102110222 |
| As time | 87101 seconds = 24 h 11 min 41 s |
Is 87101 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 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 | Yes (87101 ÷ 7 = 12443) | 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 8) | 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 3) | 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 87101 a prime number?
No. 87101 = 7 × 23 × 541, so it is divisible by 7.
What are the factors of 87101?
1, 7, 23, 161, 541, 3787, 12443, 87101.
What is 87101 in binary?
10101010000111101 (hexadecimal 1543D, octal 252075).
What is the square root of 87101?
About 295.1288.
Is 87101 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 87101?
It is a composite number with 8 divisors.