The number 8840
8840 is a composite number with 32 divisors. Its prime factorisation is × 5 × 13 × 17. Divisors (32): 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85 … 8840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8840: a Harshad number: divisible by its digit sum 20.
- 2
8840 is composite. Its prime factorisation is
- 3
The divisors add up to 22680; without 8840 itself that is 13840, so 8840 is abundant (13840 is more than 8840). Euler's totient φ(8840) = 3072 numbers up to 8840 share no factor with it.
- 4
The digits of 8840 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8840 = 2^{3} \times 5 \times 13 \times 17 \]8840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 22680 |
| Euler totient φ(n) | 3072 |
| Square | 78145600 |
| Cube | 690807104000 |
| Square root | 94.021274 (= 2√2210) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 8.84 × |
8840 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and forty |
| Binary (base 2) | 10001010001000 |
| Octal (base 8) | 21210 |
| Hexadecimal (base 16) | 2288 |
| Base 3 | 110010102 |
| As time | 8840 seconds = 2 h 27 min 20 s |
Is 8840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8840 ÷ 2 = 4420) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8840 ÷ 4 = 2210) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (8840 ÷ 5 = 1768) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (8840 ÷ 8 = 1105) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (8840 ÷ 10 = 884) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8840 a prime number?
No. 8840 = × 5 × 13 × 17, so it is divisible by 2.
What are the factors of 8840?
1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840.
What is 8840 in binary?
10001010001000 (hexadecimal 2288, octal 21210).
What is the square root of 8840?
About 94.0213, exactly 2√2210.
Is 8840 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8840?
8840 is a Harshad number: divisible by its digit sum 20.