The number 7146
7146 is a composite number with 12 divisors. Its prime factorisation is 2 × × 397. Divisors (12): 1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573, 7146.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7146: a Harshad number: divisible by its digit sum 18.
- 2
7146 is composite. Its prime factorisation is
- 3
The divisors add up to 15522; without 7146 itself that is 8376, so 7146 is abundant (8376 is more than 7146). Euler's totient φ(7146) = 2376 numbers up to 7146 share no factor with it.
- 4
The digits of 7146 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7146 = 2 \times 3^{2} \times 397 \]7146 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 15522 |
| Euler totient φ(n) | 2376 |
| Square | 51065316 |
| Cube | 364912748136 |
| Square root | 84.534017 (= 3√794) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 7.146 × |
7146 in other forms
| Form | Value |
|---|---|
| In words | seven thousand one hundred and forty-six |
| Binary (base 2) | 1101111101010 |
| Octal (base 8) | 15752 |
| Hexadecimal (base 16) | 1BEA |
| Base 3 | 100210200 |
| As time | 7146 seconds = 1 h 59 min 6 s |
Is 7146 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7146 ÷ 2 = 3573) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7146 ÷ 3 = 2382) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7146 ÷ 6 = 1191) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (7146 ÷ 9 = 794) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7146 a prime number?
No. 7146 = 2 × × 397, so it is divisible by 2.
What are the factors of 7146?
1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573, 7146.
What is 7146 in binary?
1101111101010 (hexadecimal 1BEA, octal 15752).
What is the square root of 7146?
About 84.5340, exactly 3√794.
Is 7146 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 7146?
7146 is a Harshad number: divisible by its digit sum 18.