The number 7070
7070 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 101. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7070: a Harshad number: divisible by its digit sum 14.
- 2
7070 is composite. Its prime factorisation is
- 3
The divisors add up to 14688; without 7070 itself that is 7618, so 7070 is abundant (7618 is more than 7070). Euler's totient φ(7070) = 2400 numbers up to 7070 share no factor with it.
- 4
The digits of 7070 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7070 = 2 \times 5 \times 7 \times 101 \]
7070 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14688 |
| Euler totient φ(n) | 2400 |
| Square | 49984900 |
| Cube | 353393243000 |
| Square root | 84.083292 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 150 |
| Scientific notation | 7.07 × |
7070 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and seventy |
| Binary (base 2) | 1101110011110 |
| Octal (base 8) | 15636 |
| Hexadecimal (base 16) | 1B9E |
| Base 3 | 100200212 |
| As time | 7070 seconds = 1 h 57 min 50 s |
Is 7070 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7070 ÷ 2 = 3535) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | Yes (7070 ÷ 5 = 1414) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (7070 ÷ 7 = 1010) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7070 ÷ 10 = 707) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7070 a prime number?
No. 7070 = 2 × 5 × 7 × 101, so it is divisible by 2.
What are the factors of 7070?
1, 2, 5, 7, 10, 14, 35, 70, 101, 202, 505, 707, 1010, 1414, 3535, 7070.
What is 7070 in binary?
1101110011110 (hexadecimal 1B9E, octal 15636).
What is the square root of 7070?
About 84.0833.
Is 7070 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 7070?
7070 is a Harshad number: divisible by its digit sum 14.