The number 7029
7029 is a composite number with 12 divisors. Its prime factorisation is × 11 × 71. Divisors (12): 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7029 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7029 is composite. Its prime factorisation is
- 3
The divisors add up to 11232; without 7029 itself that is 4203, so 7029 is deficient (4203 is less than 7029). Euler's totient φ(7029) = 4200 numbers up to 7029 share no factor with it.
- 4
The digits of 7029 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7029 = 3^{2} \times 11 \times 71 \]7029 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11232 |
| Euler totient φ(n) | 4200 |
| Square | 49406841 |
| Cube | 347280685389 |
| Square root | 83.839132 (= 3√781) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.029 × |
7029 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and twenty-nine |
| Binary (base 2) | 1101101110101 |
| Octal (base 8) | 15565 |
| Hexadecimal (base 16) | 1B75 |
| Base 3 | 100122100 |
| As time | 7029 seconds = 1 h 57 min 9 s |
Is 7029 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7029 ÷ 3 = 2343) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (7029 ÷ 9 = 781) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (7029 ÷ 11 = 639) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7029 a prime number?
No. 7029 = × 11 × 71, so it is divisible by 3.
What are the factors of 7029?
1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029.
What is 7029 in binary?
1101101110101 (hexadecimal 1B75, octal 15565).
What is the square root of 7029?
About 83.8391, exactly 3√781.
Is 7029 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 7029?
It is a composite number with 12 divisors.