The number 73420
73420 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3671. Divisors (12): 1, 2, 4, 5, 10, 20, 3671, 7342, 14684, 18355, 36710, 73420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73420 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73420 is composite. Its prime factorisation is
- 3
The divisors add up to 154224; without 73420 itself that is 80804, so 73420 is abundant (80804 is more than 73420). Euler's totient φ(73420) = 29360 numbers up to 73420 share no factor with it.
- 4
The digits of 73420 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73420 = 2^{2} \times 5 \times 3671 \]73420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 154224 |
| Euler totient φ(n) | 29360 |
| Square | 5390496400 |
| Cube | 395770245688000 |
| Square root | 270.961252 (= 2√18355) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.342 × |
73420 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and twenty |
| Binary (base 2) | 10001111011001100 |
| Octal (base 8) | 217314 |
| Hexadecimal (base 16) | 11ECC |
| Base 3 | 10201201021 |
| As time | 73420 seconds = 20 h 23 min 40 s |
Is 73420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73420 ÷ 2 = 36710) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73420 ÷ 4 = 18355) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73420 ÷ 5 = 14684) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73420 ÷ 10 = 7342) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73420 a prime number?
No. 73420 = × 5 × 3671, so it is divisible by 2.
What are the factors of 73420?
1, 2, 4, 5, 10, 20, 3671, 7342, 14684, 18355, 36710, 73420.
What is 73420 in binary?
10001111011001100 (hexadecimal 11ECC, octal 217314).
What is the square root of 73420?
About 270.9613, exactly 2√18355.
Is 73420 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 73420?
It is a composite number with 12 divisors.