The number 42007
42007 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 353. Divisors (8): 1, 7, 17, 119, 353, 2471, 6001, 42007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42007 is composite. Its prime factorisation is
- 3
The divisors add up to 50976; without 42007 itself that is 8969, so 42007 is deficient (8969 is less than 42007). Euler's totient φ(42007) = 33792 numbers up to 42007 share no factor with it.
- 4
The digits of 42007 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42007 = 7 \times 17 \times 353 \]
42007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 50976 |
| Euler totient φ(n) | 33792 |
| Square | 1764588049 |
| Cube | 74125050174343 |
| Square root | 204.956093 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2007 × |
42007 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and seven |
| Binary (base 2) | 1010010000010111 |
| Octal (base 8) | 122027 |
| Hexadecimal (base 16) | A417 |
| Base 3 | 2010121211 |
| As time | 42007 seconds = 11 h 40 min 7 s |
Is 42007 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42007 ÷ 7 = 6001) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42007 a prime number?
No. 42007 = 7 × 17 × 353, so it is divisible by 7.
What are the factors of 42007?
1, 7, 17, 119, 353, 2471, 6001, 42007.
What is 42007 in binary?
1010010000010111 (hexadecimal A417, octal 122027).
What is the square root of 42007?
About 204.9561.
Is 42007 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42007?
It is a composite number with 8 divisors.