The number 8274
8274 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 197. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274.
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How to work it out
- 1
What is special about 8274: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
8274 is composite. Its prime factorisation is
- 3
The divisors add up to 19008; without 8274 itself that is 10734, so 8274 is abundant (10734 is more than 8274). Euler's totient φ(8274) = 2352 numbers up to 8274 share no factor with it.
- 4
The digits of 8274 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8274 = 2 \times 3 \times 7 \times 197 \]
8274 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 19008 |
| Euler totient φ(n) | 2352 |
| Square | 68459076 |
| Cube | 566430394824 |
| Square root | 90.961530 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 8.274 × |
8274 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and seventy-four |
| Binary (base 2) | 10000001010010 |
| Octal (base 8) | 20122 |
| Hexadecimal (base 16) | 2052 |
| Base 3 | 102100110 |
| As time | 8274 seconds = 2 h 17 min 54 s |
Is 8274 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8274 ÷ 2 = 4137) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8274 ÷ 3 = 2758) | 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 (8274 ÷ 6 = 1379) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8274 ÷ 7 = 1182) | 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 | No (remainder 3) | 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 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 8274 a prime number?
No. 8274 = 2 × 3 × 7 × 197, so it is divisible by 2.
What are the factors of 8274?
1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137, 8274.
What is 8274 in binary?
10000001010010 (hexadecimal 2052, octal 20122).
What is the square root of 8274?
About 90.9615.
Is 8274 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8274?
8274 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.