The number 80442
80442 is a composite number with 24 divisors. Its prime factorisation is 2 × × 41 × 109. Divisors (24): 1, 2, 3, 6, 9, 18, 41, 82, 109, 123, 218, 246, 327, 369, 654, 738 … 80442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80442: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
80442 is composite. Its prime factorisation is
- 3
The divisors add up to 180180; without 80442 itself that is 99738, so 80442 is abundant (99738 is more than 80442). Euler's totient φ(80442) = 25920 numbers up to 80442 share no factor with it.
- 4
The digits of 80442 add up to 18, 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
\[ 80442 = 2 \times 3^{2} \times 41 \times 109 \]80442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 180180 |
| Euler totient φ(n) | 25920 |
| Square | 6470915364 |
| Cube | 520533373710888 |
| Square root | 283.622989 (= 3√8938) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0442 × |
80442 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand four hundred and forty-two |
| Binary (base 2) | 10011101000111010 |
| Octal (base 8) | 235072 |
| Hexadecimal (base 16) | 13A3A |
| Base 3 | 11002100100 |
| As time | 80442 seconds = 22 h 20 min 42 s |
Is 80442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80442 ÷ 2 = 40221) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80442 ÷ 3 = 26814) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (80442 ÷ 6 = 13407) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80442 ÷ 9 = 8938) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 80442 a prime number?
No. 80442 = 2 × × 41 × 109, so it is divisible by 2.
What are the factors of 80442?
1, 2, 3, 6, 9, 18, 41, 82, 109, 123, 218, 246, 327, 369, 654, 738, 981, 1962, 4469, 8938, 13407, 26814, 40221, 80442.
What is 80442 in binary?
10011101000111010 (hexadecimal 13A3A, octal 235072).
What is the square root of 80442?
About 283.6230, exactly 3√8938.
Is 80442 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80442?
80442 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.