The number 13777
13777 is a composite number with 4 divisors. Its prime factorisation is 23 × 599. Divisors (4): 1, 23, 599, 13777.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13777: a semiprime: 23 × 599, the product of two primes.
- 2
13777 is composite. Its prime factorisation is
- 3
The divisors add up to 14400; without 13777 itself that is 623, so 13777 is deficient (623 is less than 13777). Euler's totient φ(13777) = 13156 numbers up to 13777 share no factor with it.
- 4
The digits of 13777 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13777 = 23 \times 599 \]
13777 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14400 |
| Euler totient φ(n) | 13156 |
| Square | 189805729 |
| Cube | 2614953528433 |
| Square root | 117.375466 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.3777 × |
13777 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand seven hundred and seventy-seven |
| Binary (base 2) | 11010111010001 |
| Octal (base 8) | 32721 |
| Hexadecimal (base 16) | 35D1 |
| Base 3 | 200220021 |
| As time | 13777 seconds = 3 h 49 min 37 s |
Is 13777 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 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13777 a prime number?
No. 13777 = 23 × 599, so it is divisible by 23.
What are the factors of 13777?
1, 23, 599, 13777.
What is 13777 in binary?
11010111010001 (hexadecimal 35D1, octal 32721).
What is the square root of 13777?
About 117.3755.
Is 13777 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 13777?
13777 is a semiprime: 23 × 599, the product of two primes.