The number 8340
8340 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 139. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556 … 8340.
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How to work it out
- 1
What is special about 8340: a Harshad number: divisible by its digit sum 15.
- 2
8340 is composite. Its prime factorisation is
- 3
The divisors add up to 23520; without 8340 itself that is 15180, so 8340 is abundant (15180 is more than 8340). Euler's totient φ(8340) = 2208 numbers up to 8340 share no factor with it.
- 4
The digits of 8340 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8340 = 2^{2} \times 3 \times 5 \times 139 \]8340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 23520 |
| Euler totient φ(n) | 2208 |
| Square | 69555600 |
| Cube | 580093704000 |
| Square root | 91.323600 (= 2√2085) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.34 × |
8340 in other forms
| Form | Value |
|---|---|
| In words | eight thousand three hundred and forty |
| Binary (base 2) | 10000010010100 |
| Octal (base 8) | 20224 |
| Hexadecimal (base 16) | 2094 |
| Base 3 | 102102220 |
| As time | 8340 seconds = 2 h 19 min 0 s |
Is 8340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8340 ÷ 2 = 4170) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8340 ÷ 3 = 2780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8340 ÷ 4 = 2085) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8340 ÷ 5 = 1668) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8340 ÷ 6 = 1390) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8340 ÷ 10 = 834) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8340 ÷ 12 = 695) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8340 a prime number?
No. 8340 = × 3 × 5 × 139, so it is divisible by 2.
What are the factors of 8340?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340.
What is 8340 in binary?
10000010010100 (hexadecimal 2094, octal 20224).
What is the square root of 8340?
About 91.3236, exactly 2√2085.
Is 8340 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8340?
8340 is a Harshad number: divisible by its digit sum 15.