The number 42070
42070 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 601. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 601, 1202, 3005, 4207, 6010, 8414, 21035, 42070.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42070 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42070 is composite. Its prime factorisation is
- 3
The divisors add up to 86688; without 42070 itself that is 44618, so 42070 is abundant (44618 is more than 42070). Euler's totient φ(42070) = 14400 numbers up to 42070 share no factor with it.
- 4
The digits of 42070 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 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42070 = 2 \times 5 \times 7 \times 601 \]
42070 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86688 |
| Euler totient φ(n) | 14400 |
| Square | 1769884900 |
| Cube | 74459057743000 |
| Square root | 205.109727 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.207 × |
42070 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and seventy |
| Binary (base 2) | 1010010001010110 |
| Octal (base 8) | 122126 |
| Hexadecimal (base 16) | A456 |
| Base 3 | 2010201011 |
| As time | 42070 seconds = 11 h 41 min 10 s |
Is 42070 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42070 ÷ 2 = 21035) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42070 ÷ 5 = 8414) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42070 ÷ 7 = 6010) | 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 6) | 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 | Yes (42070 ÷ 10 = 4207) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42070 a prime number?
No. 42070 = 2 × 5 × 7 × 601, so it is divisible by 2.
What are the factors of 42070?
1, 2, 5, 7, 10, 14, 35, 70, 601, 1202, 3005, 4207, 6010, 8414, 21035, 42070.
What is 42070 in binary?
1010010001010110 (hexadecimal A456, octal 122126).
What is the square root of 42070?
About 205.1097.
Is 42070 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42070?
It is a composite number with 16 divisors.