The number 42008
42008 is a composite number with 16 divisors. Its prime factorisation is × 59 × 89. Divisors (16): 1, 2, 4, 8, 59, 89, 118, 178, 236, 356, 472, 712, 5251, 10502, 21004, 42008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42008 is composite. Its prime factorisation is
- 3
The divisors add up to 81000; without 42008 itself that is 38992, so 42008 is deficient (38992 is less than 42008). Euler's totient φ(42008) = 20416 numbers up to 42008 share no factor with it.
- 4
The digits of 42008 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42008 = 2^{3} \times 59 \times 89 \]42008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 81000 |
| Euler totient φ(n) | 20416 |
| Square | 1764672064 |
| Cube | 74130344064512 |
| Square root | 204.958532 (= 2√10502) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.2008 × |
42008 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and eight |
| Binary (base 2) | 1010010000011000 |
| Octal (base 8) | 122030 |
| Hexadecimal (base 16) | A418 |
| Base 3 | 2010121212 |
| As time | 42008 seconds = 11 h 40 min 8 s |
Is 42008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42008 ÷ 2 = 21004) | 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 | Yes (42008 ÷ 4 = 10502) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (42008 ÷ 8 = 5251) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42008 a prime number?
No. 42008 = × 59 × 89, so it is divisible by 2.
What are the factors of 42008?
1, 2, 4, 8, 59, 89, 118, 178, 236, 356, 472, 712, 5251, 10502, 21004, 42008.
What is 42008 in binary?
1010010000011000 (hexadecimal A418, octal 122030).
What is the square root of 42008?
About 204.9585, exactly 2√10502.
Is 42008 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42008?
It is a composite number with 16 divisors.