The number 42207
42207 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1279. Divisors (8): 1, 3, 11, 33, 1279, 3837, 14069, 42207.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42207 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42207 is composite. Its prime factorisation is
- 3
The divisors add up to 61440; without 42207 itself that is 19233, so 42207 is deficient (19233 is less than 42207). Euler's totient φ(42207) = 25560 numbers up to 42207 share no factor with it.
- 4
The digits of 42207 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42207 = 3 \times 11 \times 1279 \]
42207 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 61440 |
| Euler totient φ(n) | 25560 |
| Square | 1781430849 |
| Cube | 75188851843743 |
| Square root | 205.443423 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2207 × |
42207 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and seven |
| Binary (base 2) | 1010010011011111 |
| Octal (base 8) | 122337 |
| Hexadecimal (base 16) | A4DF |
| Base 3 | 2010220020 |
| As time | 42207 seconds = 11 h 43 min 27 s |
Is 42207 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 (42207 ÷ 3 = 14069) | 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 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42207 ÷ 11 = 3837) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42207 a prime number?
No. 42207 = 3 × 11 × 1279, so it is divisible by 3.
What are the factors of 42207?
1, 3, 11, 33, 1279, 3837, 14069, 42207.
What is 42207 in binary?
1010010011011111 (hexadecimal A4DF, octal 122337).
What is the square root of 42207?
About 205.4434.
Is 42207 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42207?
It is a composite number with 8 divisors.