The number 80478
80478 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 263. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 263, 306, 526, 789, 1578 … 80478.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80478: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80478 is composite. Its prime factorisation is
- 3
The divisors add up to 185328; without 80478 itself that is 104850, so 80478 is abundant (104850 is more than 80478). Euler's totient φ(80478) = 25152 numbers up to 80478 share no factor with it.
- 4
The digits of 80478 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
\[ 80478 = 2 \times 3^{2} \times 17 \times 263 \]80478 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 185328 |
| Euler totient φ(n) | 25152 |
| Square | 6476708484 |
| Cube | 521232545375352 |
| Square root | 283.686447 (= 3√8942) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0478 × |
80478 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and seventy-eight |
| Binary (base 2) | 10011101001011110 |
| Octal (base 8) | 235136 |
| Hexadecimal (base 16) | 13A5E |
| Base 3 | 11002101200 |
| As time | 80478 seconds = 22 h 21 min 18 s |
Is 80478 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80478 ÷ 2 = 40239) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80478 ÷ 3 = 26826) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (80478 ÷ 6 = 13413) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80478 ÷ 9 = 8942) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80478 a prime number?
No. 80478 = 2 × × 17 × 263, so it is divisible by 2.
What are the factors of 80478?
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 263, 306, 526, 789, 1578, 2367, 4471, 4734, 8942, 13413, 26826, 40239, 80478.
What is 80478 in binary?
10011101001011110 (hexadecimal 13A5E, octal 235136).
What is the square root of 80478?
About 283.6864, exactly 3√8942.
Is 80478 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 80478?
80478 is a happy number: repeatedly adding the squares of its digits reaches 1.