The number 7701
7701 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 151. Divisors (8): 1, 3, 17, 51, 151, 453, 2567, 7701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7701 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7701 is composite. Its prime factorisation is
- 3
The divisors add up to 10944; without 7701 itself that is 3243, so 7701 is deficient (3243 is less than 7701). Euler's totient φ(7701) = 4800 numbers up to 7701 share no factor with it.
- 4
The digits of 7701 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7701 = 3 \times 17 \times 151 \]
7701 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10944 |
| Euler totient φ(n) | 4800 |
| Square | 59305401 |
| Cube | 456710893101 |
| Square root | 87.755342 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 52 |
| Scientific notation | 7.701 × |
7701 in other forms
| Form | Value |
|---|---|
| In words | seven thousand seven hundred and one |
| Binary (base 2) | 1111000010101 |
| Octal (base 8) | 17025 |
| Hexadecimal (base 16) | 1E15 |
| Base 3 | 101120020 |
| As time | 7701 seconds = 2 h 8 min 21 s |
Is 7701 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 (7701 ÷ 3 = 2567) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7701 a prime number?
No. 7701 = 3 × 17 × 151, so it is divisible by 3.
What are the factors of 7701?
1, 3, 17, 51, 151, 453, 2567, 7701.
What is 7701 in binary?
1111000010101 (hexadecimal 1E15, octal 17025).
What is the square root of 7701?
About 87.7553.
Is 7701 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 7701?
It is a composite number with 8 divisors.