The number 73890
73890 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 821. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 821, 1642, 2463, 4105 … 73890.
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How to work it out
- 1
What is special about 73890: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73890 is composite. Its prime factorisation is
- 3
The divisors add up to 192348; without 73890 itself that is 118458, so 73890 is abundant (118458 is more than 73890). Euler's totient φ(73890) = 19680 numbers up to 73890 share no factor with it.
- 4
The digits of 73890 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
\[ 73890 = 2 \times 3^{2} \times 5 \times 821 \]73890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 192348 |
| Euler totient φ(n) | 19680 |
| Square | 5459732100 |
| Cube | 403419604869000 |
| Square root | 271.827151 (= 3√8210) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.389 × |
73890 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and ninety |
| Binary (base 2) | 10010000010100010 |
| Octal (base 8) | 220242 |
| Hexadecimal (base 16) | 120A2 |
| Base 3 | 10202100200 |
| As time | 73890 seconds = 20 h 31 min 30 s |
Is 73890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73890 ÷ 2 = 36945) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73890 ÷ 3 = 24630) | 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 | Yes (73890 ÷ 5 = 14778) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73890 ÷ 6 = 12315) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (73890 ÷ 9 = 8210) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73890 ÷ 10 = 7389) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 73890 a prime number?
No. 73890 = 2 × × 5 × 821, so it is divisible by 2.
What are the factors of 73890?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 821, 1642, 2463, 4105, 4926, 7389, 8210, 12315, 14778, 24630, 36945, 73890.
What is 73890 in binary?
10010000010100010 (hexadecimal 120A2, octal 220242).
What is the square root of 73890?
About 271.8272, exactly 3√8210.
Is 73890 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73890?
73890 is a happy number: repeatedly adding the squares of its digits reaches 1.