The number 2613
2613 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 67. Divisors (8): 1, 3, 13, 39, 67, 201, 871, 2613.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2613 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2613 is composite. Its prime factorisation is
- 3
The divisors add up to 3808; without 2613 itself that is 1195, so 2613 is deficient (1195 is less than 2613). Euler's totient φ(2613) = 1584 numbers up to 2613 share no factor with it.
- 4
The digits of 2613 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2613 = 3 \times 13 \times 67 \]
2613 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3808 |
| Euler totient φ(n) | 1584 |
| Square | 6827769 |
| Cube | 17840960397 |
| Square root | 51.117512 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 27 |
| Scientific notation | 2.613 × |
2613 in other forms
| Form | Value |
|---|---|
| In words | two thousand six hundred and thirteen |
| Roman numerals | MMDCXIII |
| Binary (base 2) | 101000110101 |
| Octal (base 8) | 5065 |
| Hexadecimal (base 16) | A35 |
| Base 3 | 10120210 |
| As time | 2613 seconds = 43 min 33 s |
Is 2613 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 (2613 ÷ 3 = 871) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 6) | 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 2613 a prime number?
No. 2613 = 3 × 13 × 67, so it is divisible by 3.
What are the factors of 2613?
1, 3, 13, 39, 67, 201, 871, 2613.
What is 2613 in binary?
101000110101 (hexadecimal A35, octal 5065).
What is the square root of 2613?
About 51.1175.
What is 2613 in Roman numerals?
MMDCXIII.
Is 2613 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 2613?
It is a composite number with 8 divisors.