The number 8802
8802 is a composite number with 16 divisors. Its prime factorisation is 2 × × 163. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 163, 326, 489, 978, 1467, 2934, 4401, 8802.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8802: a Harshad number: divisible by its digit sum 18.
- 2
8802 is composite. Its prime factorisation is
- 3
The divisors add up to 19680; without 8802 itself that is 10878, so 8802 is abundant (10878 is more than 8802). Euler's totient φ(8802) = 2916 numbers up to 8802 share no factor with it.
- 4
The digits of 8802 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8802 = 2 \times 3^{3} \times 163 \]8802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 19680 |
| Euler totient φ(n) | 2916 |
| Square | 77475204 |
| Cube | 681936745608 |
| Square root | 93.818975 (= 3√978) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 8.802 × |
8802 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and two |
| Binary (base 2) | 10001001100010 |
| Octal (base 8) | 21142 |
| Hexadecimal (base 16) | 2262 |
| Base 3 | 110002000 |
| As time | 8802 seconds = 2 h 26 min 42 s |
Is 8802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8802 ÷ 2 = 4401) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8802 ÷ 3 = 2934) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8802 ÷ 6 = 1467) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8802 ÷ 9 = 978) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8802 a prime number?
No. 8802 = 2 × × 163, so it is divisible by 2.
What are the factors of 8802?
1, 2, 3, 6, 9, 18, 27, 54, 163, 326, 489, 978, 1467, 2934, 4401, 8802.
What is 8802 in binary?
10001001100010 (hexadecimal 2262, octal 21142).
What is the square root of 8802?
About 93.8190, exactly 3√978.
Is 8802 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 8802?
8802 is a Harshad number: divisible by its digit sum 18.