The number 28340
28340 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 109. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 109, 130, 218, 260, 436, 545 … 28340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
28340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
28340 is composite. Its prime factorisation is
- 3
The divisors add up to 64680; without 28340 itself that is 36340, so 28340 is abundant (36340 is more than 28340). Euler's totient φ(28340) = 10368 numbers up to 28340 share no factor with it.
- 4
The digits of 28340 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28340 = 2^{2} \times 5 \times 13 \times 109 \]28340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 64680 |
| Euler totient φ(n) | 10368 |
| Square | 803155600 |
| Cube | 22761429704000 |
| Square root | 168.344884 (= 2√7085) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.834 × |
28340 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand three hundred and forty |
| Binary (base 2) | 110111010110100 |
| Octal (base 8) | 67264 |
| Hexadecimal (base 16) | 6EB4 |
| Base 3 | 1102212122 |
| As time | 28340 seconds = 7 h 52 min 20 s |
Is 28340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (28340 ÷ 2 = 14170) | 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 (28340 ÷ 4 = 7085) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (28340 ÷ 5 = 5668) | 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 | Yes (28340 ÷ 10 = 2834) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 28340 a prime number?
No. 28340 = × 5 × 13 × 109, so it is divisible by 2.
What are the factors of 28340?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 109, 130, 218, 260, 436, 545, 1090, 1417, 2180, 2834, 5668, 7085, 14170, 28340.
What is 28340 in binary?
110111010110100 (hexadecimal 6EB4, octal 67264).
What is the square root of 28340?
About 168.3449, exactly 2√7085.
Is 28340 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 28340?
It is a composite number with 24 divisors.