The number 4079
4079 is the 562nd prime number. Its only divisors are 1 and 4079.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4079: the 562nd prime number.
- 2
4079 is prime, so its only factors are 1 and 4079. It is the 562nd prime; the next prime is 4091 and the one before is 4073.
- 3
The divisors add up to 4080; without 4079 itself that is 1, so 4079 is deficient (1 is less than 4079). Euler's totient φ(4079) = 4078 numbers up to 4079 share no factor with it.
- 4
The digits of 4079 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
4079 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4080 |
| Euler totient φ(n) | 4078 |
| Square | 16638241 |
| Cube | 67867385039 |
| Square root | 63.867049 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 64 |
| Scientific notation | 4.079 × |
4079 in other forms
| Form | Value |
|---|---|
| In words | four thousand and seventy-nine |
| Binary (base 2) | 111111101111 |
| Octal (base 8) | 7757 |
| Hexadecimal (base 16) | FEF |
| Base 3 | 12121002 |
| As time | 4079 seconds = 1 h 7 min 59 s |
Is 4079 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4079 a prime number?
Yes. 4079 is divisible only by 1 and itself.
What are the factors of 4079?
1, 4079.
What is 4079 in binary?
111111101111 (hexadecimal FEF, octal 7757).
What is the square root of 4079?
About 63.8670.
Is 4079 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4079?
4079 is the 562nd prime number.