The number 73818
73818 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1367. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1367, 2734, 4101, 8202, 12303, 24606, 36909, 73818.
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How to work it out
- 1
What is special about 73818: a Harshad number: divisible by its digit sum 27.
- 2
73818 is composite. Its prime factorisation is
- 3
The divisors add up to 164160; without 73818 itself that is 90342, so 73818 is abundant (90342 is more than 73818). Euler's totient φ(73818) = 24588 numbers up to 73818 share no factor with it.
- 4
The digits of 73818 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73818 = 2 \times 3^{3} \times 1367 \]73818 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 164160 |
| Euler totient φ(n) | 24588 |
| Square | 5449097124 |
| Cube | 402241451499432 |
| Square root | 271.694682 (= 3√8202) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.3818 × |
73818 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and eighteen |
| Binary (base 2) | 10010000001011010 |
| Octal (base 8) | 220132 |
| Hexadecimal (base 16) | 1205A |
| Base 3 | 10202021000 |
| As time | 73818 seconds = 20 h 30 min 18 s |
Is 73818 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73818 ÷ 2 = 36909) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73818 ÷ 3 = 24606) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73818 ÷ 6 = 12303) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73818 ÷ 9 = 8202) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73818 a prime number?
No. 73818 = 2 × × 1367, so it is divisible by 2.
What are the factors of 73818?
1, 2, 3, 6, 9, 18, 27, 54, 1367, 2734, 4101, 8202, 12303, 24606, 36909, 73818.
What is 73818 in binary?
10010000001011010 (hexadecimal 1205A, octal 220132).
What is the square root of 73818?
About 271.6947, exactly 3√8202.
Is 73818 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73818?
73818 is a Harshad number: divisible by its digit sum 27.