The number 11977
11977 is a composite number with 8 divisors. Its prime factorisation is 7 × 29 × 59. Divisors (8): 1, 7, 29, 59, 203, 413, 1711, 11977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11977 is composite. Its prime factorisation is
- 3
The divisors add up to 14400; without 11977 itself that is 2423, so 11977 is deficient (2423 is less than 11977). Euler's totient φ(11977) = 9744 numbers up to 11977 share no factor with it.
- 4
The digits of 11977 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11977 = 7 \times 29 \times 59 \]
11977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 14400 |
| Euler totient φ(n) | 9744 |
| Square | 143448529 |
| Cube | 1718083031833 |
| Square root | 109.439481 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 187 |
| Scientific notation | 1.1977 × |
11977 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand nine hundred and seventy-seven |
| Binary (base 2) | 10111011001001 |
| Octal (base 8) | 27311 |
| Hexadecimal (base 16) | 2EC9 |
| Base 3 | 121102121 |
| As time | 11977 seconds = 3 h 19 min 37 s |
Is 11977 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 | Yes (11977 ÷ 7 = 1711) | 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 9) | 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 11977 a prime number?
No. 11977 = 7 × 29 × 59, so it is divisible by 7.
What are the factors of 11977?
1, 7, 29, 59, 203, 413, 1711, 11977.
What is 11977 in binary?
10111011001001 (hexadecimal 2EC9, octal 27311).
What is the square root of 11977?
About 109.4395.
Is 11977 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 11977?
It is a composite number with 8 divisors.