The number 13977
13977 is a composite number with 6 divisors. Its prime factorisation is × 1553. Divisors (6): 1, 3, 9, 1553, 4659, 13977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13977 is composite. Its prime factorisation is
- 3
The divisors add up to 20202; without 13977 itself that is 6225, so 13977 is deficient (6225 is less than 13977). Euler's totient φ(13977) = 9312 numbers up to 13977 share no factor with it.
- 4
The digits of 13977 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13977 = 3^{2} \times 1553 \]13977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 20202 |
| Euler totient φ(n) | 9312 |
| Square | 195356529 |
| Cube | 2730498205833 |
| Square root | 118.224363 (= 3√1553) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3977 × |
13977 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand nine hundred and seventy-seven |
| Binary (base 2) | 11011010011001 |
| Octal (base 8) | 33231 |
| Hexadecimal (base 16) | 3699 |
| Base 3 | 201011200 |
| As time | 13977 seconds = 3 h 52 min 57 s |
Is 13977 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 (13977 ÷ 3 = 4659) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (13977 ÷ 9 = 1553) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13977 a prime number?
No. 13977 = × 1553, so it is divisible by 3.
What are the factors of 13977?
1, 3, 9, 1553, 4659, 13977.
What is 13977 in binary?
11011010011001 (hexadecimal 3699, octal 33231).
What is the square root of 13977?
About 118.2244, exactly 3√1553.
Is 13977 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 13977?
It is a composite number with 6 divisors.