The number 80427
80427 is a composite number with 16 divisors. Its prime factorisation is 3 × 17 × 19 × 83. Divisors (16): 1, 3, 17, 19, 51, 57, 83, 249, 323, 969, 1411, 1577, 4233, 4731, 26809, 80427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80427: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80427 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 80427 itself that is 40533, so 80427 is deficient (40533 is less than 80427). Euler's totient φ(80427) = 47232 numbers up to 80427 share no factor with it.
- 4
The digits of 80427 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80427 = 3 \times 17 \times 19 \times 83 \]
80427 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 47232 |
| Square | 6468502329 |
| Cube | 520242236814483 |
| Square root | 283.596544 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0427 × |
80427 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and twenty-seven |
| Binary (base 2) | 10011101000101011 |
| Octal (base 8) | 235053 |
| Hexadecimal (base 16) | 13A2B |
| Base 3 | 11002022210 |
| As time | 80427 seconds = 22 h 20 min 27 s |
Is 80427 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 (80427 ÷ 3 = 26809) | 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 2) | 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 4) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 80427 a prime number?
No. 80427 = 3 × 17 × 19 × 83, so it is divisible by 3.
What are the factors of 80427?
1, 3, 17, 19, 51, 57, 83, 249, 323, 969, 1411, 1577, 4233, 4731, 26809, 80427.
What is 80427 in binary?
10011101000101011 (hexadecimal 13A2B, octal 235053).
What is the square root of 80427?
About 283.5965.
Is 80427 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80427?
80427 is a happy number: repeatedly adding the squares of its digits reaches 1.