The number 87308
87308 is a composite number with 24 divisors. Its prime factorisation is × 13 × 23 × 73. Divisors (24): 1, 2, 4, 13, 23, 26, 46, 52, 73, 92, 146, 292, 299, 598, 949, 1196 … 87308.
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How to work it out
- 1
What is special about 87308: a Harshad number: divisible by its digit sum 26.
- 2
87308 is composite. Its prime factorisation is
- 3
The divisors add up to 174048; without 87308 itself that is 86740, so 87308 is deficient (86740 is less than 87308). Euler's totient φ(87308) = 38016 numbers up to 87308 share no factor with it.
- 4
The digits of 87308 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87308 = 2^{2} \times 13 \times 23 \times 73 \]87308 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 174048 |
| Euler totient φ(n) | 38016 |
| Square | 7622686864 |
| Cube | 665521544722112 |
| Square root | 295.479272 (= 2√21827) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7308 × |
87308 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and eight |
| Binary (base 2) | 10101010100001100 |
| Octal (base 8) | 252414 |
| Hexadecimal (base 16) | 1550C |
| Base 3 | 11102202122 |
| As time | 87308 seconds = 24 h 15 min 8 s |
Is 87308 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87308 ÷ 2 = 43654) | 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 | Yes (87308 ÷ 4 = 21827) | 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 2) | 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 | No (remainder 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87308 a prime number?
No. 87308 = × 13 × 23 × 73, so it is divisible by 2.
What are the factors of 87308?
1, 2, 4, 13, 23, 26, 46, 52, 73, 92, 146, 292, 299, 598, 949, 1196, 1679, 1898, 3358, 3796, 6716, 21827, 43654, 87308.
What is 87308 in binary?
10101010100001100 (hexadecimal 1550C, octal 252414).
What is the square root of 87308?
About 295.4793, exactly 2√21827.
Is 87308 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 87308?
87308 is a Harshad number: divisible by its digit sum 26.