The number 73809
73809 is a composite number with 12 divisors. Its prime factorisation is × 59 × 139. Divisors (12): 1, 3, 9, 59, 139, 177, 417, 531, 1251, 8201, 24603, 73809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73809: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73809 is composite. Its prime factorisation is
- 3
The divisors add up to 109200; without 73809 itself that is 35391, so 73809 is deficient (35391 is less than 73809). Euler's totient φ(73809) = 48024 numbers up to 73809 share no factor with it.
- 4
The digits of 73809 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 231 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73809 = 3^{2} \times 59 \times 139 \]73809 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109200 |
| Euler totient φ(n) | 48024 |
| Square | 5447768481 |
| Cube | 402094343814129 |
| Square root | 271.678118 (= 3√8201) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 231 |
| Scientific notation | 7.3809 × |
73809 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and nine |
| Binary (base 2) | 10010000001010001 |
| Octal (base 8) | 220121 |
| Hexadecimal (base 16) | 12051 |
| Base 3 | 10202020200 |
| As time | 73809 seconds = 20 h 30 min 9 s |
Is 73809 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73809 ÷ 3 = 24603) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73809 ÷ 9 = 8201) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73809 a prime number?
No. 73809 = × 59 × 139, so it is divisible by 3.
What are the factors of 73809?
1, 3, 9, 59, 139, 177, 417, 531, 1251, 8201, 24603, 73809.
What is 73809 in binary?
10010000001010001 (hexadecimal 12051, octal 220121).
What is the square root of 73809?
About 271.6781, exactly 3√8201.
Is 73809 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73809?
73809 is a happy number: repeatedly adding the squares of its digits reaches 1.