The number 1613
1613 is the 255th prime number. Its only divisors are 1 and 1613.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1613: the 255th prime number.
- 2
1613 is prime, so its only factors are 1 and 1613. It is the 255th prime; the next prime is 1619 and the one before is 1609.
- 3
The divisors add up to 1614; without 1613 itself that is 1, so 1613 is deficient (1 is less than 1613). Euler's totient φ(1613) = 1612 numbers up to 1613 share no factor with it.
- 4
The digits of 1613 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
1613 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1614 |
| Euler totient φ(n) | 1612 |
| Square | 2601769 |
| Cube | 4196653397 |
| Square root | 40.162171 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 21 |
| Scientific notation | 1.613 × |
1613 in other forms
| Form | Value |
|---|---|
| In words | one thousand six hundred and thirteen |
| Roman numerals | MDCXIII |
| Binary (base 2) | 11001001101 |
| Octal (base 8) | 3115 |
| Hexadecimal (base 16) | 64D |
| Base 3 | 2012202 |
| As time | 1613 seconds = 26 min 53 s |
Is 1613 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 3) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 1613 a prime number?
Yes. 1613 is divisible only by 1 and itself.
What are the factors of 1613?
1, 1613.
What is 1613 in binary?
11001001101 (hexadecimal 64D, octal 3115).
What is the square root of 1613?
About 40.1622.
What is 1613 in Roman numerals?
MDCXIII.
Is 1613 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1613?
1613 is the 255th prime number.