The number 80244
80244 is a composite number with 24 divisors. Its prime factorisation is × × 743. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 743, 1486, 2229, 2972 … 80244.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80244: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
80244 is composite. Its prime factorisation is
- 3
The divisors add up to 208320; without 80244 itself that is 128076, so 80244 is abundant (128076 is more than 80244). Euler's totient φ(80244) = 26712 numbers up to 80244 share no factor with it.
- 4
The digits of 80244 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80244 = 2^{2} \times 3^{3} \times 743 \]80244 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 208320 |
| Euler totient φ(n) | 26712 |
| Square | 6439099536 |
| Cube | 516699103166784 |
| Square root | 283.273719 (= 6√2229) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.0244 × |
80244 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand two hundred and forty-four |
| Binary (base 2) | 10011100101110100 |
| Octal (base 8) | 234564 |
| Hexadecimal (base 16) | 13974 |
| Base 3 | 11002002000 |
| As time | 80244 seconds = 22 h 17 min 24 s |
Is 80244 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80244 ÷ 2 = 40122) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80244 ÷ 3 = 26748) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80244 ÷ 4 = 20061) | 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 | Yes (80244 ÷ 6 = 13374) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (80244 ÷ 9 = 8916) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | Yes (80244 ÷ 12 = 6687) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80244 a prime number?
No. 80244 = × × 743, so it is divisible by 2.
What are the factors of 80244?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 743, 1486, 2229, 2972, 4458, 6687, 8916, 13374, 20061, 26748, 40122, 80244.
What is 80244 in binary?
10011100101110100 (hexadecimal 13974, octal 234564).
What is the square root of 80244?
About 283.2737, exactly 6√2229.
Is 80244 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80244?
80244 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.