The number 8074
8074 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 367. Divisors (8): 1, 2, 11, 22, 367, 734, 4037, 8074.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8074: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
8074 is composite. Its prime factorisation is
- 3
The divisors add up to 13248; without 8074 itself that is 5174, so 8074 is deficient (5174 is less than 8074). Euler's totient φ(8074) = 3660 numbers up to 8074 share no factor with it.
- 4
The digits of 8074 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8074 = 2 \times 11 \times 367 \]
8074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13248 |
| Euler totient φ(n) | 3660 |
| Square | 65189476 |
| Cube | 526339829224 |
| Square root | 89.855439 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 114 |
| Scientific notation | 8.074 × |
8074 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and seventy-four |
| Binary (base 2) | 1111110001010 |
| Octal (base 8) | 17612 |
| Hexadecimal (base 16) | 1F8A |
| Base 3 | 102002001 |
| As time | 8074 seconds = 2 h 14 min 34 s |
Is 8074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8074 ÷ 2 = 4037) | 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 | 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 | No (remainder 4) | 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 | No (remainder 1) | 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 | Yes (8074 ÷ 11 = 734) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8074 a prime number?
No. 8074 = 2 × 11 × 367, so it is divisible by 2.
What are the factors of 8074?
1, 2, 11, 22, 367, 734, 4037, 8074.
What is 8074 in binary?
1111110001010 (hexadecimal 1F8A, octal 17612).
What is the square root of 8074?
About 89.8554.
Is 8074 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 8074?
8074 is a happy number: repeatedly adding the squares of its digits reaches 1.