The number 87438
87438 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 13 × 19 × 59. Divisors (32): 1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 59, 78, 114, 118, 177, 247 … 87438.
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How to work it out
- 1
87438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87438 is composite. Its prime factorisation is
- 3
The divisors add up to 201600; without 87438 itself that is 114162, so 87438 is abundant (114162 is more than 87438). Euler's totient φ(87438) = 25056 numbers up to 87438 share no factor with it.
- 4
The digits of 87438 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87438 = 2 \times 3 \times 13 \times 19 \times 59 \]
87438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 201600 |
| Euler totient φ(n) | 25056 |
| Square | 7645403844 |
| Cube | 668498821311672 |
| Square root | 295.699171 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 102 |
| Scientific notation | 8.7438 × |
87438 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand four hundred and thirty-eight |
| Binary (base 2) | 10101010110001110 |
| Octal (base 8) | 252616 |
| Hexadecimal (base 16) | 1558E |
| Base 3 | 11102221110 |
| As time | 87438 seconds = 24 h 17 min 18 s |
Is 87438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87438 ÷ 2 = 43719) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87438 ÷ 3 = 29146) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (87438 ÷ 6 = 14573) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87438 a prime number?
No. 87438 = 2 × 3 × 13 × 19 × 59, so it is divisible by 2.
What are the factors of 87438?
1, 2, 3, 6, 13, 19, 26, 38, 39, 57, 59, 78, 114, 118, 177, 247, 354, 494, 741, 767, 1121, 1482, 1534, 2242, 2301, 3363, 4602, 6726, 14573, 29146, 43719, 87438.
What is 87438 in binary?
10101010110001110 (hexadecimal 1558E, octal 252616).
What is the square root of 87438?
About 295.6992.
Is 87438 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 87438?
It is a composite number with 32 divisors.