The number 8848
8848 is a composite number with 20 divisors. Its prime factorisation is × 7 × 79. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 79, 112, 158, 316, 553, 632, 1106 … 8848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8848: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.
- 2
8848 is composite. Its prime factorisation is
- 3
The divisors add up to 19840; without 8848 itself that is 10992, so 8848 is abundant (10992 is more than 8848). Euler's totient φ(8848) = 3744 numbers up to 8848 share no factor with it.
- 4
The digits of 8848 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8848 = 2^{4} \times 7 \times 79 \]8848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 19840 |
| Euler totient φ(n) | 3744 |
| Square | 78287104 |
| Cube | 692684296192 |
| Square root | 94.063808 (= 4√553) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.848 × |
8848 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and forty-eight |
| Binary (base 2) | 10001010010000 |
| Octal (base 8) | 21220 |
| Hexadecimal (base 16) | 2290 |
| Base 3 | 110010201 |
| As time | 8848 seconds = 2 h 27 min 28 s |
Is 8848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8848 ÷ 2 = 4424) | 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 (8848 ÷ 4 = 2212) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8848 ÷ 7 = 1264) | 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 | Yes (8848 ÷ 8 = 1106) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4) | 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 8848 a prime number?
No. 8848 = × 7 × 79, so it is divisible by 2.
What are the factors of 8848?
1, 2, 4, 7, 8, 14, 16, 28, 56, 79, 112, 158, 316, 553, 632, 1106, 1264, 2212, 4424, 8848.
What is 8848 in binary?
10001010010000 (hexadecimal 2290, octal 21220).
What is the square root of 8848?
About 94.0638, exactly 4√553.
Is 8848 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 8848?
8848 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 28.