The number 42979
42979 is the 4493rd prime number. Its only divisors are 1 and 42979.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42979: the 4493rd prime number.
- 2
42979 is prime, so its only factors are 1 and 42979. It is the 4493rd prime; the next prime is 42989 and the one before is 42967.
- 3
The divisors add up to 42980; without 42979 itself that is 1, so 42979 is deficient (1 is less than 42979). Euler's totient φ(42979) = 42978 numbers up to 42979 share no factor with it.
- 4
The digits of 42979 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
42979 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 42980 |
| Euler totient φ(n) | 42978 |
| Square | 1847194441 |
| Cube | 79390569879739 |
| Square root | 207.313772 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2979 × |
42979 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and seventy-nine |
| Binary (base 2) | 1010011111100011 |
| Octal (base 8) | 123743 |
| Hexadecimal (base 16) | A7E3 |
| Base 3 | 2011221211 |
| As time | 42979 seconds = 11 h 56 min 19 s |
Is 42979 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 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 6) | 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 3) | 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 2) | 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 42979 a prime number?
Yes. 42979 is divisible only by 1 and itself.
What are the factors of 42979?
1, 42979.
What is 42979 in binary?
1010011111100011 (hexadecimal A7E3, octal 123743).
What is the square root of 42979?
About 207.3138.
Is 42979 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 42979?
42979 is the 4493rd prime number.