The number 83079
83079 is a composite number with 16 divisors. Its prime factorisation is × 17 × 181. Divisors (16): 1, 3, 9, 17, 27, 51, 153, 181, 459, 543, 1629, 3077, 4887, 9231, 27693, 83079.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83079: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
83079 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 83079 itself that is 47961, so 83079 is deficient (47961 is less than 83079). Euler's totient φ(83079) = 51840 numbers up to 83079 share no factor with it.
- 4
The digits of 83079 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83079 = 3^{3} \times 17 \times 181 \]83079 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 51840 |
| Square | 6902120241 |
| Cube | 573421247502039 |
| Square root | 288.234280 (= 3√9231) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.3079 × |
83079 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and seventy-nine |
| Binary (base 2) | 10100010010000111 |
| Octal (base 8) | 242207 |
| Hexadecimal (base 16) | 14487 |
| Base 3 | 11012222000 |
| As time | 83079 seconds = 23 h 4 min 39 s |
Is 83079 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 | Yes (83079 ÷ 3 = 27693) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (83079 ÷ 9 = 9231) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83079 a prime number?
No. 83079 = × 17 × 181, so it is divisible by 3.
What are the factors of 83079?
1, 3, 9, 17, 27, 51, 153, 181, 459, 543, 1629, 3077, 4887, 9231, 27693, 83079.
What is 83079 in binary?
10100010010000111 (hexadecimal 14487, octal 242207).
What is the square root of 83079?
About 288.2343, exactly 3√9231.
Is 83079 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 83079?
83079 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.