The number 78200
78200 is a composite number with 48 divisors. Its prime factorisation is × × 17 × 23. Divisors (48): 1, 2, 4, 5, 8, 10, 17, 20, 23, 25, 34, 40, 46, 50, 68, 85 … 78200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 78200: a Harshad number: divisible by its digit sum 17.
- 2
78200 is composite. Its prime factorisation is
- 3
The divisors add up to 200880; without 78200 itself that is 122680, so 78200 is abundant (122680 is more than 78200). Euler's totient φ(78200) = 28160 numbers up to 78200 share no factor with it.
- 4
The digits of 78200 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78200 = 2^{3} \times 5^{2} \times 17 \times 23 \]78200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 200880 |
| Euler totient φ(n) | 28160 |
| Square | 6115240000 |
| Cube | 478211768000000 |
| Square root | 279.642629 (= 10√782) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.82 × |
78200 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand two hundred |
| Binary (base 2) | 10011000101111000 |
| Octal (base 8) | 230570 |
| Hexadecimal (base 16) | 13178 |
| Base 3 | 10222021022 |
| As time | 78200 seconds = 21 h 43 min 20 s |
Is 78200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (78200 ÷ 2 = 39100) | 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 (78200 ÷ 4 = 19550) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (78200 ÷ 5 = 15640) | 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 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 | Yes (78200 ÷ 8 = 9775) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (78200 ÷ 10 = 7820) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 78200 a prime number?
No. 78200 = × × 17 × 23, so it is divisible by 2.
What are the factors of 78200?
1, 2, 4, 5, 8, 10, 17, 20, 23, 25, 34, 40, 46, 50, 68, 85, 92, 100, 115, 136, 170, 184, 200, 230, 340, 391, 425, 460, 575, 680, 782, 850, 920, 1150, 1564, 1700, 1955, 2300, 3128, 3400, 3910, 4600, 7820, 9775, 15640, 19550, 39100, 78200.
What is 78200 in binary?
10011000101111000 (hexadecimal 13178, octal 230570).
What is the square root of 78200?
About 279.6426, exactly 10√782.
Is 78200 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 78200?
78200 is a Harshad number: divisible by its digit sum 17.