The number 73413
73413 is a composite number with 8 divisors. Its prime factorisation is × 2719. Divisors (8): 1, 3, 9, 27, 2719, 8157, 24471, 73413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73413 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73413 is composite. Its prime factorisation is
- 3
The divisors add up to 108800; without 73413 itself that is 35387, so 73413 is deficient (35387 is less than 73413). Euler's totient φ(73413) = 48924 numbers up to 73413 share no factor with it.
- 4
The digits of 73413 add up to 18, 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
\[ 73413 = 3^{3} \times 2719 \]73413 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 108800 |
| Euler totient φ(n) | 48924 |
| Square | 5389468569 |
| Cube | 395657056055997 |
| Square root | 270.948335 (= 3√8157) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.3413 × |
73413 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and thirteen |
| Binary (base 2) | 10001111011000101 |
| Octal (base 8) | 217305 |
| Hexadecimal (base 16) | 11EC5 |
| Base 3 | 10201201000 |
| As time | 73413 seconds = 20 h 23 min 33 s |
Is 73413 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 (73413 ÷ 3 = 24471) | 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 3) | 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 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73413 ÷ 9 = 8157) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 73413 a prime number?
No. 73413 = × 2719, so it is divisible by 3.
What are the factors of 73413?
1, 3, 9, 27, 2719, 8157, 24471, 73413.
What is 73413 in binary?
10001111011000101 (hexadecimal 11EC5, octal 217305).
What is the square root of 73413?
About 270.9483, exactly 3√8157.
Is 73413 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73413?
It is a composite number with 8 divisors.