The number 42169
42169 is the 4407th prime number. Its only divisors are 1 and 42169.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42169: the 4407th prime number.
- 2
42169 is prime, so its only factors are 1 and 42169. It is the 4407th prime; the next prime is 42179 and the one before is 42157.
- 3
The divisors add up to 42170; without 42169 itself that is 1, so 42169 is deficient (1 is less than 42169). Euler's totient φ(42169) = 42168 numbers up to 42169 share no factor with it.
- 4
The digits of 42169 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
42169 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42170 |
| Euler totient φ(n) | 42168 |
| Square | 1778224561 |
| Cube | 74985951512809 |
| Square root | 205.350919 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2169 × |
42169 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and sixty-nine |
| Binary (base 2) | 1010010010111001 |
| Octal (base 8) | 122271 |
| Hexadecimal (base 16) | A4B9 |
| Base 3 | 2010211211 |
| As time | 42169 seconds = 11 h 42 min 49 s |
Is 42169 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | 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 | No (remainder 1) | 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 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42169 a prime number?
Yes. 42169 is divisible only by 1 and itself.
What are the factors of 42169?
1, 42169.
What is 42169 in binary?
1010010010111001 (hexadecimal A4B9, octal 122271).
What is the square root of 42169?
About 205.3509.
Is 42169 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42169?
42169 is the 4407th prime number.