The number 3079
3079 is the 440th prime number. Its only divisors are 1 and 3079.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3079: the 440th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3079 is prime, so its only factors are 1 and 3079. It is the 440th prime; the next prime is 3083 and the one before is 3067.
- 3
The divisors add up to 3080; without 3079 itself that is 1, so 3079 is deficient (1 is less than 3079). Euler's totient φ(3079) = 3078 numbers up to 3079 share no factor with it.
- 4
The digits of 3079 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 154 steps to reach 1.
3079 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3080 |
| Euler totient φ(n) | 3078 |
| Square | 9480241 |
| Cube | 29189662039 |
| Square root | 55.488738 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 154 |
| Scientific notation | 3.079 × |
3079 in other forms
| Form | Value |
|---|---|
| In words | three thousand and seventy-nine |
| Roman numerals | MMMLXXIX |
| Binary (base 2) | 110000000111 |
| Octal (base 8) | 6007 |
| Hexadecimal (base 16) | C07 |
| Base 3 | 11020001 |
| As time | 3079 seconds = 51 min 19 s |
Is 3079 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 10) | 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 3079 a prime number?
Yes. 3079 is divisible only by 1 and itself.
What are the factors of 3079?
1, 3079.
What is 3079 in binary?
110000000111 (hexadecimal C07, octal 6007).
What is the square root of 3079?
About 55.4887.
What is 3079 in Roman numerals?
MMMLXXIX.
Is 3079 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3079?
3079 is the 440th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.