The number 55977
55977 is a composite number with 8 divisors. Its prime factorisation is 3 × 47 × 397. Divisors (8): 1, 3, 47, 141, 397, 1191, 18659, 55977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55977 is composite. Its prime factorisation is
- 3
The divisors add up to 76416; without 55977 itself that is 20439, so 55977 is deficient (20439 is less than 55977). Euler's totient φ(55977) = 36432 numbers up to 55977 share no factor with it.
- 4
The digits of 55977 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55977 = 3 \times 47 \times 397 \]
55977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76416 |
| Euler totient φ(n) | 36432 |
| Square | 3133424529 |
| Cube | 175399704859833 |
| Square root | 236.594590 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5977 × |
55977 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and seventy-seven |
| Binary (base 2) | 1101101010101001 |
| Octal (base 8) | 155251 |
| Hexadecimal (base 16) | DAA9 |
| Base 3 | 2211210020 |
| As time | 55977 seconds = 15 h 32 min 57 s |
Is 55977 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 (55977 ÷ 3 = 18659) | 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 | No (remainder 6) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55977 a prime number?
No. 55977 = 3 × 47 × 397, so it is divisible by 3.
What are the factors of 55977?
1, 3, 47, 141, 397, 1191, 18659, 55977.
What is 55977 in binary?
1101101010101001 (hexadecimal DAA9, octal 155251).
What is the square root of 55977?
About 236.5946.
Is 55977 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 55977?
It is a composite number with 8 divisors.