The number 7016
7016 is a composite number with 8 divisors. Its prime factorisation is × 877. Divisors (8): 1, 2, 4, 8, 877, 1754, 3508, 7016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7016: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7016 is composite. Its prime factorisation is
- 3
The divisors add up to 13170; without 7016 itself that is 6154, so 7016 is deficient (6154 is less than 7016). Euler's totient φ(7016) = 3504 numbers up to 7016 share no factor with it.
- 4
The digits of 7016 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7016 = 2^{3} \times 877 \]7016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13170 |
| Euler totient φ(n) | 3504 |
| Square | 49224256 |
| Cube | 345357380096 |
| Square root | 83.761566 (= 2√1754) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.016 × |
7016 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and sixteen |
| Binary (base 2) | 1101101101000 |
| Octal (base 8) | 15550 |
| Hexadecimal (base 16) | 1B68 |
| Base 3 | 100121212 |
| As time | 7016 seconds = 1 h 56 min 56 s |
Is 7016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7016 ÷ 2 = 3508) | 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 | Yes (7016 ÷ 4 = 1754) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (7016 ÷ 8 = 877) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7016 a prime number?
No. 7016 = × 877, so it is divisible by 2.
What are the factors of 7016?
1, 2, 4, 8, 877, 1754, 3508, 7016.
What is 7016 in binary?
1101101101000 (hexadecimal 1B68, octal 15550).
What is the square root of 7016?
About 83.7616, exactly 2√1754.
Is 7016 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 7016?
7016 is a happy number: repeatedly adding the squares of its digits reaches 1.