The number 8748
8748 is a composite number with 24 divisors. Its prime factorisation is × . Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324 … 8748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8748: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
8748 is composite. Its prime factorisation is
- 3
The divisors add up to 22960; without 8748 itself that is 14212, so 8748 is abundant (14212 is more than 8748). Euler's totient φ(8748) = 2916 numbers up to 8748 share no factor with it.
- 4
The digits of 8748 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8748 = 2^{2} \times 3^{7} \]8748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 22960 |
| Euler totient φ(n) | 2916 |
| Square | 76527504 |
| Cube | 669462604992 |
| Square root | 93.530744 (= 54√3) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 8.748 × |
8748 in other forms
| Form | Value |
|---|---|
| In words | eight thousand seven hundred and forty-eight |
| Binary (base 2) | 10001000101100 |
| Octal (base 8) | 21054 |
| Hexadecimal (base 16) | 222C |
| Base 3 | 110000000 |
| As time | 8748 seconds = 2 h 25 min 48 s |
Is 8748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8748 ÷ 2 = 4374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8748 ÷ 3 = 2916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8748 ÷ 4 = 2187) | 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 (8748 ÷ 6 = 1458) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (8748 ÷ 9 = 972) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8748 ÷ 12 = 729) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8748 a prime number?
No. 8748 = × , so it is divisible by 2.
What are the factors of 8748?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 729, 972, 1458, 2187, 2916, 4374, 8748.
What is 8748 in binary?
10001000101100 (hexadecimal 222C, octal 21054).
What is the square root of 8748?
About 93.5307, exactly 54√3.
Is 8748 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8748?
8748 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.