The number 84400
84400 is a composite number with 30 divisors. Its prime factorisation is × × 211. Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 211, 400 … 84400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 84400: a Harshad number: divisible by its digit sum 16.
- 2
84400 is composite. Its prime factorisation is
- 3
The divisors add up to 203732; without 84400 itself that is 119332, so 84400 is abundant (119332 is more than 84400). Euler's totient φ(84400) = 33600 numbers up to 84400 share no factor with it.
- 4
The digits of 84400 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84400 = 2^{4} \times 5^{2} \times 211 \]84400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 203732 |
| Euler totient φ(n) | 33600 |
| Square | 7123360000 |
| Cube | 601211584000000 |
| Square root | 290.516781 (= 20√211) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.44 × |
84400 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand four hundred |
| Binary (base 2) | 10100100110110000 |
| Octal (base 8) | 244660 |
| Hexadecimal (base 16) | 149B0 |
| Base 3 | 11021202221 |
| As time | 84400 seconds = 23 h 26 min 40 s |
Is 84400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (84400 ÷ 2 = 42200) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (84400 ÷ 4 = 21100) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (84400 ÷ 5 = 16880) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (84400 ÷ 8 = 10550) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (84400 ÷ 10 = 8440) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 84400 a prime number?
No. 84400 = × × 211, so it is divisible by 2.
What are the factors of 84400?
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 211, 400, 422, 844, 1055, 1688, 2110, 3376, 4220, 5275, 8440, 10550, 16880, 21100, 42200, 84400.
What is 84400 in binary?
10100100110110000 (hexadecimal 149B0, octal 244660).
What is the square root of 84400?
About 290.5168, exactly 20√211.
Is 84400 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 84400?
84400 is a Harshad number: divisible by its digit sum 16.