The number 7026
7026 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1171. Divisors (8): 1, 2, 3, 6, 1171, 2342, 3513, 7026.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7026 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7026 is composite. Its prime factorisation is
- 3
The divisors add up to 14064; without 7026 itself that is 7038, so 7026 is abundant (7038 is more than 7026). Euler's totient φ(7026) = 2340 numbers up to 7026 share no factor with it.
- 4
The digits of 7026 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7026 = 2 \times 3 \times 1171 \]
7026 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14064 |
| Euler totient φ(n) | 2340 |
| Square | 49364676 |
| Cube | 346836213576 |
| Square root | 83.821238 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.026 × |
7026 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and twenty-six |
| Binary (base 2) | 1101101110010 |
| Octal (base 8) | 15562 |
| Hexadecimal (base 16) | 1B72 |
| Base 3 | 100122020 |
| As time | 7026 seconds = 1 h 57 min 6 s |
Is 7026 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7026 ÷ 2 = 3513) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7026 ÷ 3 = 2342) | 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 (7026 ÷ 6 = 1171) | 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 | No (remainder 6) | 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 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 7026 a prime number?
No. 7026 = 2 × 3 × 1171, so it is divisible by 2.
What are the factors of 7026?
1, 2, 3, 6, 1171, 2342, 3513, 7026.
What is 7026 in binary?
1101101110010 (hexadecimal 1B72, octal 15562).
What is the square root of 7026?
About 83.8212.
Is 7026 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 7026?
It is a composite number with 8 divisors.