The number 7035
7035 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 7 × 67. Divisors (16): 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7035: a Harshad number: divisible by its digit sum 15.
- 2
7035 is composite. Its prime factorisation is
- 3
The divisors add up to 13056; without 7035 itself that is 6021, so 7035 is deficient (6021 is less than 7035). Euler's totient φ(7035) = 3168 numbers up to 7035 share no factor with it.
- 4
The digits of 7035 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7035 = 3 \times 5 \times 7 \times 67 \]
7035 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 13056 |
| Euler totient φ(n) | 3168 |
| Square | 49491225 |
| Cube | 348170767875 |
| Square root | 83.874907 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 106 |
| Scientific notation | 7.035 × |
7035 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and thirty-five |
| Binary (base 2) | 1101101111011 |
| Octal (base 8) | 15573 |
| Hexadecimal (base 16) | 1B7B |
| Base 3 | 100122120 |
| As time | 7035 seconds = 1 h 57 min 15 s |
Is 7035 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 (7035 ÷ 3 = 2345) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7035 ÷ 5 = 1407) | 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 | Yes (7035 ÷ 7 = 1005) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7035 a prime number?
No. 7035 = 3 × 5 × 7 × 67, so it is divisible by 3.
What are the factors of 7035?
1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035.
What is 7035 in binary?
1101101111011 (hexadecimal 1B7B, octal 15573).
What is the square root of 7035?
About 83.8749.
Is 7035 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 7035?
7035 is a Harshad number: divisible by its digit sum 15.