The number 5577
5577 is a composite number with 12 divisors. Its prime factorisation is 3 × 11 × . Divisors (12): 1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5577 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5577 is composite. Its prime factorisation is
- 3
The divisors add up to 8784; without 5577 itself that is 3207, so 5577 is deficient (3207 is less than 5577). Euler's totient φ(5577) = 3120 numbers up to 5577 share no factor with it.
- 4
The digits of 5577 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5577 = 3 \times 11 \times 13^{2} \]5577 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8784 |
| Euler totient φ(n) | 3120 |
| Square | 31102929 |
| Cube | 173461035033 |
| Square root | 74.679314 (= 13√33) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.577 × |
5577 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and seventy-seven |
| Binary (base 2) | 1010111001001 |
| Octal (base 8) | 12711 |
| Hexadecimal (base 16) | 15C9 |
| Base 3 | 21122120 |
| As time | 5577 seconds = 1 h 32 min 57 s |
Is 5577 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 (5577 ÷ 3 = 1859) | 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 | Yes (5577 ÷ 11 = 507) | 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 5577 a prime number?
No. 5577 = 3 × 11 × , so it is divisible by 3.
What are the factors of 5577?
1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859, 5577.
What is 5577 in binary?
1010111001001 (hexadecimal 15C9, octal 12711).
What is the square root of 5577?
About 74.6793, exactly 13√33.
Is 5577 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 5577?
It is a composite number with 12 divisors.