The number 82440
82440 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 229. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 82440.
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How to work it out
- 1
What is special about 82440: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
82440 is composite. Its prime factorisation is
- 3
The divisors add up to 269100; without 82440 itself that is 186660, so 82440 is abundant (186660 is more than 82440). Euler's totient φ(82440) = 21888 numbers up to 82440 share no factor with it.
- 4
The digits of 82440 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82440 = 2^{3} \times 3^{2} \times 5 \times 229 \]82440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 269100 |
| Euler totient φ(n) | 21888 |
| Square | 6796353600 |
| Cube | 560291390784000 |
| Square root | 287.123667 (= 6√2290) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.244 × |
82440 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand four hundred and forty |
| Binary (base 2) | 10100001000001000 |
| Octal (base 8) | 241010 |
| Hexadecimal (base 16) | 14208 |
| Base 3 | 11012002100 |
| As time | 82440 seconds = 22 h 54 min 0 s |
Is 82440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82440 ÷ 2 = 41220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82440 ÷ 3 = 27480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (82440 ÷ 4 = 20610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82440 ÷ 5 = 16488) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (82440 ÷ 6 = 13740) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (82440 ÷ 8 = 10305) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (82440 ÷ 9 = 9160) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (82440 ÷ 10 = 8244) | 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 | Yes (82440 ÷ 12 = 6870) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82440 a prime number?
No. 82440 = × × 5 × 229, so it is divisible by 2.
What are the factors of 82440?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 229, 360, 458, 687, 916, 1145, 1374, 1832, 2061, 2290, 2748, 3435, 4122, 4580, 5496, 6870, 8244, 9160, 10305, 13740, 16488, 20610, 27480, 41220, 82440.
What is 82440 in binary?
10100001000001000 (hexadecimal 14208, octal 241010).
What is the square root of 82440?
About 287.1237, exactly 6√2290.
Is 82440 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 82440?
82440 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.