The number 8148
8148 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 97. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388 … 8148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8148: a Harshad number: divisible by its digit sum 21.
- 2
8148 is composite. Its prime factorisation is
- 3
The divisors add up to 21952; without 8148 itself that is 13804, so 8148 is abundant (13804 is more than 8148). Euler's totient φ(8148) = 2304 numbers up to 8148 share no factor with it.
- 4
The digits of 8148 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8148 = 2^{2} \times 3 \times 7 \times 97 \]8148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 21952 |
| Euler totient φ(n) | 2304 |
| Square | 66389904 |
| Cube | 540944937792 |
| Square root | 90.266273 (= 2√2037) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 8.148 × |
8148 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and forty-eight |
| Binary (base 2) | 1111111010100 |
| Octal (base 8) | 17724 |
| Hexadecimal (base 16) | 1FD4 |
| Base 3 | 102011210 |
| As time | 8148 seconds = 2 h 15 min 48 s |
Is 8148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8148 ÷ 2 = 4074) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8148 ÷ 3 = 2716) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8148 ÷ 4 = 2037) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8148 ÷ 6 = 1358) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8148 ÷ 7 = 1164) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8148 ÷ 12 = 679) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8148 a prime number?
No. 8148 = × 3 × 7 × 97, so it is divisible by 2.
What are the factors of 8148?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148.
What is 8148 in binary?
1111111010100 (hexadecimal 1FD4, octal 17724).
What is the square root of 8148?
About 90.2663, exactly 2√2037.
Is 8148 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8148?
8148 is a Harshad number: divisible by its digit sum 21.