The number 8140
8140 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 37. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220 … 8140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8140 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8140 is composite. Its prime factorisation is
- 3
The divisors add up to 19152; without 8140 itself that is 11012, so 8140 is abundant (11012 is more than 8140). Euler's totient φ(8140) = 2880 numbers up to 8140 share no factor with it.
- 4
The digits of 8140 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8140 = 2^{2} \times 5 \times 11 \times 37 \]8140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 19152 |
| Euler totient φ(n) | 2880 |
| Square | 66259600 |
| Cube | 539353144000 |
| Square root | 90.221949 (= 2√2035) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.14 × |
8140 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and forty |
| Binary (base 2) | 1111111001100 |
| Octal (base 8) | 17714 |
| Hexadecimal (base 16) | 1FCC |
| Base 3 | 102011111 |
| As time | 8140 seconds = 2 h 15 min 40 s |
Is 8140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8140 ÷ 2 = 4070) | 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 (8140 ÷ 4 = 2035) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8140 ÷ 5 = 1628) | 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 6) | 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 (8140 ÷ 10 = 814) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (8140 ÷ 11 = 740) | 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 8140 a prime number?
No. 8140 = × 5 × 11 × 37, so it is divisible by 2.
What are the factors of 8140?
1, 2, 4, 5, 10, 11, 20, 22, 37, 44, 55, 74, 110, 148, 185, 220, 370, 407, 740, 814, 1628, 2035, 4070, 8140.
What is 8140 in binary?
1111111001100 (hexadecimal 1FCC, octal 17714).
What is the square root of 8140?
About 90.2219, exactly 2√2035.
Is 8140 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 8140?
It is a composite number with 24 divisors.