The number 7074
7074 is a composite number with 16 divisors. Its prime factorisation is 2 × × 131. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7074: a Harshad number: divisible by its digit sum 18.
- 2
7074 is composite. Its prime factorisation is
- 3
The divisors add up to 15840; without 7074 itself that is 8766, so 7074 is abundant (8766 is more than 7074). Euler's totient φ(7074) = 2340 numbers up to 7074 share no factor with it.
- 4
The digits of 7074 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 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7074 = 2 \times 3^{3} \times 131 \]7074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15840 |
| Euler totient φ(n) | 2340 |
| Square | 50041476 |
| Cube | 353993401224 |
| Square root | 84.107075 (= 3√786) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 31 |
| Scientific notation | 7.074 × |
7074 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and seventy-four |
| Binary (base 2) | 1101110100010 |
| Octal (base 8) | 15642 |
| Hexadecimal (base 16) | 1BA2 |
| Base 3 | 100201000 |
| As time | 7074 seconds = 1 h 57 min 54 s |
Is 7074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7074 ÷ 2 = 3537) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7074 ÷ 3 = 2358) | 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 (7074 ÷ 6 = 1179) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (7074 ÷ 9 = 786) | 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 1) | 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 7074 a prime number?
No. 7074 = 2 × × 131, so it is divisible by 2.
What are the factors of 7074?
1, 2, 3, 6, 9, 18, 27, 54, 131, 262, 393, 786, 1179, 2358, 3537, 7074.
What is 7074 in binary?
1101110100010 (hexadecimal 1BA2, octal 15642).
What is the square root of 7074?
About 84.1071, exactly 3√786.
Is 7074 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 7074?
7074 is a Harshad number: divisible by its digit sum 18.