The number 87348
87348 is a composite number with 24 divisors. Its prime factorisation is × 3 × 29 × 251. Divisors (24): 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 251, 348, 502, 753, 1004 … 87348.
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How to work it out
- 1
87348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87348 is composite. Its prime factorisation is
- 3
The divisors add up to 211680; without 87348 itself that is 124332, so 87348 is abundant (124332 is more than 87348). Euler's totient φ(87348) = 28000 numbers up to 87348 share no factor with it.
- 4
The digits of 87348 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87348 = 2^{2} \times 3 \times 29 \times 251 \]87348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 211680 |
| Euler totient φ(n) | 28000 |
| Square | 7629673104 |
| Cube | 666436686288192 |
| Square root | 295.546951 (= 2√21837) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7348 × |
87348 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and forty-eight |
| Binary (base 2) | 10101010100110100 |
| Octal (base 8) | 252464 |
| Hexadecimal (base 16) | 15534 |
| Base 3 | 11102211010 |
| As time | 87348 seconds = 24 h 15 min 48 s |
Is 87348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87348 ÷ 2 = 43674) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87348 ÷ 3 = 29116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87348 ÷ 4 = 21837) | 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 (87348 ÷ 6 = 14558) | 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 4) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87348 ÷ 12 = 7279) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87348 a prime number?
No. 87348 = × 3 × 29 × 251, so it is divisible by 2.
What are the factors of 87348?
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 251, 348, 502, 753, 1004, 1506, 3012, 7279, 14558, 21837, 29116, 43674, 87348.
What is 87348 in binary?
10101010100110100 (hexadecimal 15534, octal 252464).
What is the square root of 87348?
About 295.5470, exactly 2√21837.
Is 87348 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 87348?
It is a composite number with 24 divisors.