The number 2513
2513 is a composite number with 4 divisors. Its prime factorisation is 7 × 359. Divisors (4): 1, 7, 359, 2513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2513: a semiprime: 7 × 359, the product of two primes.
- 2
2513 is composite. Its prime factorisation is
- 3
The divisors add up to 2880; without 2513 itself that is 367, so 2513 is deficient (367 is less than 2513). Euler's totient φ(2513) = 2148 numbers up to 2513 share no factor with it.
- 4
The digits of 2513 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2513 = 7 \times 359 \]
2513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2880 |
| Euler totient φ(n) | 2148 |
| Square | 6315169 |
| Cube | 15870019697 |
| Square root | 50.129831 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 133 |
| Scientific notation | 2.513 × |
2513 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and thirteen |
| Roman numerals | MMDXIII |
| Binary (base 2) | 100111010001 |
| Octal (base 8) | 4721 |
| Hexadecimal (base 16) | 9D1 |
| Base 3 | 10110002 |
| As time | 2513 seconds = 41 min 53 s |
Is 2513 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 | Yes (2513 ÷ 7 = 359) | 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 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 5) | 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 2513 a prime number?
No. 2513 = 7 × 359, so it is divisible by 7.
What are the factors of 2513?
1, 7, 359, 2513.
What is 2513 in binary?
100111010001 (hexadecimal 9D1, octal 4721).
What is the square root of 2513?
About 50.1298.
What is 2513 in Roman numerals?
MMDXIII.
Is 2513 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2513?
2513 is a semiprime: 7 × 359, the product of two primes.