The number 8874
8874 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 29. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261 … 8874.
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How to work it out
- 1
What is special about 8874: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8874 is composite. Its prime factorisation is
- 3
The divisors add up to 21060; without 8874 itself that is 12186, so 8874 is abundant (12186 is more than 8874). Euler's totient φ(8874) = 2688 numbers up to 8874 share no factor with it.
- 4
The digits of 8874 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 21 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8874 = 2 \times 3^{2} \times 17 \times 29 \]8874 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 21060 |
| Euler totient φ(n) | 2688 |
| Square | 78747876 |
| Cube | 698808651624 |
| Square root | 94.201911 (= 3√986) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 21 |
| Scientific notation | 8.874 × |
8874 in other forms
| Form | Value |
|---|---|
| In words | eight thousand eight hundred and seventy-four |
| Binary (base 2) | 10001010101010 |
| Octal (base 8) | 21252 |
| Hexadecimal (base 16) | 22AA |
| Base 3 | 110011200 |
| As time | 8874 seconds = 2 h 27 min 54 s |
Is 8874 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8874 ÷ 2 = 4437) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8874 ÷ 3 = 2958) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8874 ÷ 6 = 1479) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (8874 ÷ 9 = 986) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8874 a prime number?
No. 8874 = 2 × × 17 × 29, so it is divisible by 2.
What are the factors of 8874?
1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874.
What is 8874 in binary?
10001010101010 (hexadecimal 22AA, octal 21252).
What is the square root of 8874?
About 94.2019, exactly 3√986.
Is 8874 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 8874?
8874 is a happy number: repeatedly adding the squares of its digits reaches 1.