The number 42501
42501 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 457. Divisors (8): 1, 3, 31, 93, 457, 1371, 14167, 42501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42501 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42501 is composite. Its prime factorisation is
- 3
The divisors add up to 58624; without 42501 itself that is 16123, so 42501 is deficient (16123 is less than 42501). Euler's totient φ(42501) = 27360 numbers up to 42501 share no factor with it.
- 4
The digits of 42501 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42501 = 3 \times 31 \times 457 \]
42501 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 58624 |
| Euler totient φ(n) | 27360 |
| Square | 1806335001 |
| Cube | 76771043877501 |
| Square root | 206.157707 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2501 × |
42501 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and one |
| Binary (base 2) | 1010011000000101 |
| Octal (base 8) | 123005 |
| Hexadecimal (base 16) | A605 |
| Base 3 | 2011022010 |
| As time | 42501 seconds = 11 h 48 min 21 s |
Is 42501 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 (42501 ÷ 3 = 14167) | 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 1) | 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 4) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 42501 a prime number?
No. 42501 = 3 × 31 × 457, so it is divisible by 3.
What are the factors of 42501?
1, 3, 31, 93, 457, 1371, 14167, 42501.
What is 42501 in binary?
1010011000000101 (hexadecimal A605, octal 123005).
What is the square root of 42501?
About 206.1577.
Is 42501 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42501?
It is a composite number with 8 divisors.