The number 5557
5557 is the 733rd prime number and a binary palindrome (1010110110101). Its only divisors are 1 and 5557.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5557: the 733rd prime number; a binary palindrome (1010110110101).
- 2
5557 is prime, so its only factors are 1 and 5557. It is the 733rd prime; the next prime is 5563 and the one before is 5531.
- 3
The divisors add up to 5558; without 5557 itself that is 1, so 5557 is deficient (1 is less than 5557). Euler's totient φ(5557) = 5556 numbers up to 5557 share no factor with it.
- 4
The digits of 5557 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
5557 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5558 |
| Euler totient φ(n) | 5556 |
| Square | 30880249 |
| Cube | 171601543693 |
| Square root | 74.545288 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.557 × |
5557 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and fifty-seven |
| Binary (base 2) | 1010110110101 |
| Octal (base 8) | 12665 |
| Hexadecimal (base 16) | 15B5 |
| Base 3 | 21121211 |
| As time | 5557 seconds = 1 h 32 min 37 s |
Is 5557 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 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | 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 5557 a prime number?
Yes. 5557 is divisible only by 1 and itself.
What are the factors of 5557?
1, 5557.
What is 5557 in binary?
1010110110101 (hexadecimal 15B5, octal 12665).
What is the square root of 5557?
About 74.5453.
Is 5557 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 5557?
5557 is the 733rd prime number; a binary palindrome (1010110110101).