The number 8124
8124 is a composite number with 12 divisors. Its prime factorisation is × 3 × 677. Divisors (12): 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8124 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8124 is composite. Its prime factorisation is
- 3
The divisors add up to 18984; without 8124 itself that is 10860, so 8124 is abundant (10860 is more than 8124). Euler's totient φ(8124) = 2704 numbers up to 8124 share no factor with it.
- 4
The digits of 8124 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8124 = 2^{2} \times 3 \times 677 \]8124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18984 |
| Euler totient φ(n) | 2704 |
| Square | 65999376 |
| Cube | 536178930624 |
| Square root | 90.133235 (= 2√2031) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.124 × |
8124 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and twenty-four |
| Binary (base 2) | 1111110111100 |
| Octal (base 8) | 17674 |
| Hexadecimal (base 16) | 1FBC |
| Base 3 | 102010220 |
| As time | 8124 seconds = 2 h 15 min 24 s |
Is 8124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8124 ÷ 2 = 4062) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8124 ÷ 3 = 2708) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8124 ÷ 4 = 2031) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8124 ÷ 6 = 1354) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8124 ÷ 12 = 677) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8124 a prime number?
No. 8124 = × 3 × 677, so it is divisible by 2.
What are the factors of 8124?
1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124.
What is 8124 in binary?
1111110111100 (hexadecimal 1FBC, octal 17674).
What is the square root of 8124?
About 90.1332, exactly 2√2031.
Is 8124 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 8124?
It is a composite number with 12 divisors.