The number 87448
87448 is a composite number with 16 divisors. Its prime factorisation is × 17 × 643. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 643, 1286, 2572, 5144, 10931, 21862, 43724, 87448.
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How to work it out
- 1
87448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87448 is composite. Its prime factorisation is
- 3
The divisors add up to 173880; without 87448 itself that is 86432, so 87448 is deficient (86432 is less than 87448). Euler's totient φ(87448) = 41088 numbers up to 87448 share no factor with it.
- 4
The digits of 87448 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87448 = 2^{3} \times 17 \times 643 \]87448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 173880 |
| Euler totient φ(n) | 41088 |
| Square | 7647152704 |
| Cube | 668728209659392 |
| Square root | 295.716080 (= 2√21862) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7448 × |
87448 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and forty-eight |
| Binary (base 2) | 10101010110011000 |
| Octal (base 8) | 252630 |
| Hexadecimal (base 16) | 15598 |
| Base 3 | 11102221211 |
| As time | 87448 seconds = 24 h 17 min 28 s |
Is 87448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87448 ÷ 2 = 43724) | 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 | Yes (87448 ÷ 4 = 21862) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (87448 ÷ 8 = 10931) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87448 a prime number?
No. 87448 = × 17 × 643, so it is divisible by 2.
What are the factors of 87448?
1, 2, 4, 8, 17, 34, 68, 136, 643, 1286, 2572, 5144, 10931, 21862, 43724, 87448.
What is 87448 in binary?
10101010110011000 (hexadecimal 15598, octal 252630).
What is the square root of 87448?
About 295.7161, exactly 2√21862.
Is 87448 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 87448?
It is a composite number with 16 divisors.