The number 84440
84440 is a composite number with 16 divisors. Its prime factorisation is × 5 × 2111. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 2111, 4222, 8444, 10555, 16888, 21110, 42220, 84440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84440: a Harshad number: divisible by its digit sum 20.
- 2
84440 is composite. Its prime factorisation is
- 3
The divisors add up to 190080; without 84440 itself that is 105640, so 84440 is abundant (105640 is more than 84440). Euler's totient φ(84440) = 33760 numbers up to 84440 share no factor with it.
- 4
The digits of 84440 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84440 = 2^{3} \times 5 \times 2111 \]84440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 190080 |
| Euler totient φ(n) | 33760 |
| Square | 7130113600 |
| Cube | 602066792384000 |
| Square root | 290.585616 (= 2√21110) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.444 × |
84440 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand four hundred and forty |
| Binary (base 2) | 10100100111011000 |
| Octal (base 8) | 244730 |
| Hexadecimal (base 16) | 149D8 |
| Base 3 | 11021211102 |
| As time | 84440 seconds = 23 h 27 min 20 s |
Is 84440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84440 ÷ 2 = 42220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (84440 ÷ 4 = 21110) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (84440 ÷ 5 = 16888) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (84440 ÷ 8 = 10555) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (84440 ÷ 10 = 8444) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84440 a prime number?
No. 84440 = × 5 × 2111, so it is divisible by 2.
What are the factors of 84440?
1, 2, 4, 5, 8, 10, 20, 40, 2111, 4222, 8444, 10555, 16888, 21110, 42220, 84440.
What is 84440 in binary?
10100100111011000 (hexadecimal 149D8, octal 244730).
What is the square root of 84440?
About 290.5856, exactly 2√21110.
Is 84440 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 84440?
84440 is a Harshad number: divisible by its digit sum 20.