The number 7707
7707 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 367. Divisors (8): 1, 3, 7, 21, 367, 1101, 2569, 7707.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7707: a Harshad number: divisible by its digit sum 21.
- 2
7707 is composite. Its prime factorisation is
- 3
The divisors add up to 11776; without 7707 itself that is 4069, so 7707 is deficient (4069 is less than 7707). Euler's totient φ(7707) = 4392 numbers up to 7707 share no factor with it.
- 4
The digits of 7707 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7707 = 3 \times 7 \times 367 \]
7707 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11776 |
| Euler totient φ(n) | 4392 |
| Square | 59397849 |
| Cube | 457779222243 |
| Square root | 87.789521 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 7.707 × |
7707 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and seven |
| Binary (base 2) | 1111000011011 |
| Octal (base 8) | 17033 |
| Hexadecimal (base 16) | 1E1B |
| Base 3 | 101120110 |
| As time | 7707 seconds = 2 h 8 min 27 s |
Is 7707 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 (7707 ÷ 3 = 2569) | 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 | No (remainder 2) | 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 (7707 ÷ 7 = 1101) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 7707 a prime number?
No. 7707 = 3 × 7 × 367, so it is divisible by 3.
What are the factors of 7707?
1, 3, 7, 21, 367, 1101, 2569, 7707.
What is 7707 in binary?
1111000011011 (hexadecimal 1E1B, octal 17033).
What is the square root of 7707?
About 87.7895.
Is 7707 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 7707?
7707 is a Harshad number: divisible by its digit sum 21.