The number 87241
87241 is a composite number with 12 divisors. Its prime factorisation is 7 × × 103. Divisors (12): 1, 7, 11, 77, 103, 121, 721, 847, 1133, 7931, 12463, 87241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87241 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87241 is composite. Its prime factorisation is
- 3
The divisors add up to 110656; without 87241 itself that is 23415, so 87241 is deficient (23415 is less than 87241). Euler's totient φ(87241) = 67320 numbers up to 87241 share no factor with it.
- 4
The digits of 87241 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87241 = 7 \times 11^{2} \times 103 \]87241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 110656 |
| Euler totient φ(n) | 67320 |
| Square | 7610992081 |
| Cube | 663990560138521 |
| Square root | 295.365875 (= 11√721) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 58 |
| Scientific notation | 8.7241 × |
87241 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand two hundred and forty-one |
| Binary (base 2) | 10101010011001001 |
| Octal (base 8) | 252311 |
| Hexadecimal (base 16) | 154C9 |
| Base 3 | 11102200011 |
| As time | 87241 seconds = 24 h 14 min 1 s |
Is 87241 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 1) | 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 | Yes (87241 ÷ 7 = 12463) | 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 4) | 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 | Yes (87241 ÷ 11 = 7931) | 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 87241 a prime number?
No. 87241 = 7 × × 103, so it is divisible by 7.
What are the factors of 87241?
1, 7, 11, 77, 103, 121, 721, 847, 1133, 7931, 12463, 87241.
What is 87241 in binary?
10101010011001001 (hexadecimal 154C9, octal 252311).
What is the square root of 87241?
About 295.3659, exactly 11√721.
Is 87241 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 87241?
It is a composite number with 12 divisors.