The number 87340
87340 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 397. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 397, 794, 1588, 1985 … 87340.
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How to work it out
- 1
What is special about 87340: a Harshad number: divisible by its digit sum 22.
- 2
87340 is composite. Its prime factorisation is
- 3
The divisors add up to 200592; without 87340 itself that is 113252, so 87340 is abundant (113252 is more than 87340). Euler's totient φ(87340) = 31680 numbers up to 87340 share no factor with it.
- 4
The digits of 87340 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87340 = 2^{2} \times 5 \times 11 \times 397 \]87340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 200592 |
| Euler totient φ(n) | 31680 |
| Square | 7628275600 |
| Cube | 666253590904000 |
| Square root | 295.533416 (= 2√21835) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.734 × |
87340 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and forty |
| Binary (base 2) | 10101010100101100 |
| Octal (base 8) | 252454 |
| Hexadecimal (base 16) | 1552C |
| Base 3 | 11102210211 |
| As time | 87340 seconds = 24 h 15 min 40 s |
Is 87340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87340 ÷ 2 = 43670) | 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 (87340 ÷ 4 = 21835) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (87340 ÷ 5 = 17468) | 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 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 4) | 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 | Yes (87340 ÷ 10 = 8734) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (87340 ÷ 11 = 7940) | 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 87340 a prime number?
No. 87340 = × 5 × 11 × 397, so it is divisible by 2.
What are the factors of 87340?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 397, 794, 1588, 1985, 3970, 4367, 7940, 8734, 17468, 21835, 43670, 87340.
What is 87340 in binary?
10101010100101100 (hexadecimal 1552C, octal 252454).
What is the square root of 87340?
About 295.5334, exactly 2√21835.
Is 87340 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 87340?
87340 is a Harshad number: divisible by its digit sum 22.