The number 73409
73409 is a composite number with 4 divisors. Its prime factorisation is 7 × 10487. Divisors (4): 1, 7, 10487, 73409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73409: a semiprime: 7 × 10487, the product of two primes.
- 2
73409 is composite. Its prime factorisation is
- 3
The divisors add up to 83904; without 73409 itself that is 10495, so 73409 is deficient (10495 is less than 73409). Euler's totient φ(73409) = 62916 numbers up to 73409 share no factor with it.
- 4
The digits of 73409 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73409 = 7 \times 10487 \]
73409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 83904 |
| Euler totient φ(n) | 62916 |
| Square | 5388881281 |
| Cube | 395592385956929 |
| Square root | 270.940953 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.3409 × |
73409 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and nine |
| Binary (base 2) | 10001111011000001 |
| Octal (base 8) | 217301 |
| Hexadecimal (base 16) | 11EC1 |
| Base 3 | 10201200212 |
| As time | 73409 seconds = 20 h 23 min 29 s |
Is 73409 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73409 ÷ 7 = 10487) | 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 | No (remainder 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73409 a prime number?
No. 73409 = 7 × 10487, so it is divisible by 7.
What are the factors of 73409?
1, 7, 10487, 73409.
What is 73409 in binary?
10001111011000001 (hexadecimal 11EC1, octal 217301).
What is the square root of 73409?
About 270.9410.
Is 73409 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 73409?
73409 is a semiprime: 7 × 10487, the product of two primes.