The number 3557
3557 is a twin prime (3557 and 3559 are both prime) and the 498th prime number. Its only divisors are 1 and 3557.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3557: a twin prime (3557 and 3559 are both prime); the 498th prime number.
- 2
3557 is prime, so its only factors are 1 and 3557. It is the 498th prime; the next prime is 3559 and the one before is 3547.
- 3
The divisors add up to 3558; without 3557 itself that is 1, so 3557 is deficient (1 is less than 3557). Euler's totient φ(3557) = 3556 numbers up to 3557 share no factor with it.
- 4
The digits of 3557 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
3557 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3558 |
| Euler totient φ(n) | 3556 |
| Square | 12652249 |
| Cube | 45004049693 |
| Square root | 59.640590 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 149 |
| Scientific notation | 3.557 × |
3557 in other forms
| Form | Value |
|---|---|
| In words | three thousand five hundred and fifty-seven |
| Roman numerals | MMMDLVII |
| Binary (base 2) | 110111100101 |
| Octal (base 8) | 6745 |
| Hexadecimal (base 16) | DE5 |
| Base 3 | 11212202 |
| As time | 3557 seconds = 59 min 17 s |
Is 3557 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3557 a prime number?
Yes. 3557 is divisible only by 1 and itself.
What are the factors of 3557?
1, 3557.
What is 3557 in binary?
110111100101 (hexadecimal DE5, octal 6745).
What is the square root of 3557?
About 59.6406.
What is 3557 in Roman numerals?
MMMDLVII.
Is 3557 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 3557?
3557 is a twin prime (3557 and 3559 are both prime); the 498th prime number.