The number 73407
73407 is a composite number with 4 divisors. Its prime factorisation is 3 × 24469. Divisors (4): 1, 3, 24469, 73407.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73407: a semiprime: 3 × 24469, the product of two primes.
- 2
73407 is composite. Its prime factorisation is
- 3
The divisors add up to 97880; without 73407 itself that is 24473, so 73407 is deficient (24473 is less than 73407). Euler's totient φ(73407) = 48936 numbers up to 73407 share no factor with it.
- 4
The digits of 73407 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 218 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73407 = 3 \times 24469 \]
73407 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 97880 |
| Euler totient φ(n) | 48936 |
| Square | 5388587649 |
| Cube | 395560053550143 |
| Square root | 270.937262 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 218 |
| Scientific notation | 7.3407 × |
73407 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and seven |
| Binary (base 2) | 10001111010111111 |
| Octal (base 8) | 217277 |
| Hexadecimal (base 16) | 11EBF |
| Base 3 | 10201200210 |
| As time | 73407 seconds = 20 h 23 min 27 s |
Is 73407 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 (73407 ÷ 3 = 24469) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73407 a prime number?
No. 73407 = 3 × 24469, so it is divisible by 3.
What are the factors of 73407?
1, 3, 24469, 73407.
What is 73407 in binary?
10001111010111111 (hexadecimal 11EBF, octal 217277).
What is the square root of 73407?
About 270.9373.
Is 73407 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73407?
73407 is a semiprime: 3 × 24469, the product of two primes.