The number 1079
1079 is a composite number with 4 divisors. Its prime factorisation is 13 × 83. Divisors (4): 1, 13, 83, 1079.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1079: a semiprime: 13 × 83, the product of two primes.
- 2
1079 is composite. Its prime factorisation is
- 3
The divisors add up to 1176; without 1079 itself that is 97, so 1079 is deficient (97 is less than 1079). Euler's totient φ(1079) = 984 numbers up to 1079 share no factor with it.
- 4
The digits of 1079 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1079 = 13 \times 83 \]
1079 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1176 |
| Euler totient φ(n) | 984 |
| Square | 1164241 |
| Cube | 1256216039 |
| Square root | 32.848135 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 49 |
| Scientific notation | 1.079 × |
1079 in other forms
| Form | Value |
|---|---|
| In words | one thousand and seventy-nine |
| Roman numerals | MLXXIX |
| Binary (base 2) | 10000110111 |
| Octal (base 8) | 2067 |
| Hexadecimal (base 16) | 437 |
| Base 3 | 1110222 |
| As time | 1079 seconds = 17 min 59 s |
Is 1079 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 1079 a prime number?
No. 1079 = 13 × 83, so it is divisible by 13.
What are the factors of 1079?
1, 13, 83, 1079.
What is 1079 in binary?
10000110111 (hexadecimal 437, octal 2067).
What is the square root of 1079?
About 32.8481.
What is 1079 in Roman numerals?
MLXXIX.
Is 1079 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1079?
1079 is a semiprime: 13 × 83, the product of two primes.