The number 80379
80379 is a composite number with 16 divisors. Its prime factorisation is × 13 × 229. Divisors (16): 1, 3, 9, 13, 27, 39, 117, 229, 351, 687, 2061, 2977, 6183, 8931, 26793, 80379.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80379: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
80379 is composite. Its prime factorisation is
- 3
The divisors add up to 128800; without 80379 itself that is 48421, so 80379 is deficient (48421 is less than 80379). Euler's totient φ(80379) = 49248 numbers up to 80379 share no factor with it.
- 4
The digits of 80379 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80379 = 3^{3} \times 13 \times 229 \]80379 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 128800 |
| Euler totient φ(n) | 49248 |
| Square | 6460783641 |
| Cube | 519311328279939 |
| Square root | 283.511905 (= 3√8931) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0379 × |
80379 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and seventy-nine |
| Binary (base 2) | 10011100111111011 |
| Octal (base 8) | 234773 |
| Hexadecimal (base 16) | 139FB |
| Base 3 | 11002021000 |
| As time | 80379 seconds = 22 h 19 min 39 s |
Is 80379 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 (80379 ÷ 3 = 26793) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80379 ÷ 9 = 8931) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80379 a prime number?
No. 80379 = × 13 × 229, so it is divisible by 3.
What are the factors of 80379?
1, 3, 9, 13, 27, 39, 117, 229, 351, 687, 2061, 2977, 6183, 8931, 26793, 80379.
What is 80379 in binary?
10011100111111011 (hexadecimal 139FB, octal 234773).
What is the square root of 80379?
About 283.5119, exactly 3√8931.
Is 80379 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80379?
80379 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.