The number 7700
7700 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 11. Divisors (36): 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55 … 7700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7700: a Harshad number: divisible by its digit sum 14.
- 2
7700 is composite. Its prime factorisation is
- 3
The divisors add up to 20832; without 7700 itself that is 13132, so 7700 is abundant (13132 is more than 7700). Euler's totient φ(7700) = 2400 numbers up to 7700 share no factor with it.
- 4
The digits of 7700 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7700 = 2^{2} \times 5^{2} \times 7 \times 11 \]7700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 20832 |
| Euler totient φ(n) | 2400 |
| Square | 59290000 |
| Cube | 456533000000 |
| Square root | 87.749644 (= 10√77) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.7 × |
7700 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred |
| Binary (base 2) | 1111000010100 |
| Octal (base 8) | 17024 |
| Hexadecimal (base 16) | 1E14 |
| Base 3 | 101120012 |
| As time | 7700 seconds = 2 h 8 min 20 s |
Is 7700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7700 ÷ 2 = 3850) | 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 (7700 ÷ 4 = 1925) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7700 ÷ 5 = 1540) | 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 (7700 ÷ 7 = 1100) | 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 4) | 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 (7700 ÷ 10 = 770) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (7700 ÷ 11 = 700) | 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 7700 a prime number?
No. 7700 = × × 7 × 11, so it is divisible by 2.
What are the factors of 7700?
1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 25, 28, 35, 44, 50, 55, 70, 77, 100, 110, 140, 154, 175, 220, 275, 308, 350, 385, 550, 700, 770, 1100, 1540, 1925, 3850, 7700.
What is 7700 in binary?
1111000010100 (hexadecimal 1E14, octal 17024).
What is the square root of 7700?
About 87.7496, exactly 10√77.
Is 7700 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 7700?
7700 is a Harshad number: divisible by its digit sum 14.