The number 42513
42513 is a composite number with 8 divisors. Its prime factorisation is 3 × 37 × 383. Divisors (8): 1, 3, 37, 111, 383, 1149, 14171, 42513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42513 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42513 is composite. Its prime factorisation is
- 3
The divisors add up to 58368; without 42513 itself that is 15855, so 42513 is deficient (15855 is less than 42513). Euler's totient φ(42513) = 27504 numbers up to 42513 share no factor with it.
- 4
The digits of 42513 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42513 = 3 \times 37 \times 383 \]
42513 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 58368 |
| Euler totient φ(n) | 27504 |
| Square | 1807355169 |
| Cube | 76836090299697 |
| Square root | 206.186809 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2513 × |
42513 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and thirteen |
| Binary (base 2) | 1010011000010001 |
| Octal (base 8) | 123021 |
| Hexadecimal (base 16) | A611 |
| Base 3 | 2011022120 |
| As time | 42513 seconds = 11 h 48 min 33 s |
Is 42513 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 (42513 ÷ 3 = 14171) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | 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 42513 a prime number?
No. 42513 = 3 × 37 × 383, so it is divisible by 3.
What are the factors of 42513?
1, 3, 37, 111, 383, 1149, 14171, 42513.
What is 42513 in binary?
1010011000010001 (hexadecimal A611, octal 123021).
What is the square root of 42513?
About 206.1868.
Is 42513 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42513?
It is a composite number with 8 divisors.