The number 73380
73380 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1223. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1223, 2446, 3669, 4892 … 73380.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73380 is composite. Its prime factorisation is
- 3
The divisors add up to 205632; without 73380 itself that is 132252, so 73380 is abundant (132252 is more than 73380). Euler's totient φ(73380) = 19552 numbers up to 73380 share no factor with it.
- 4
The digits of 73380 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73380 = 2^{2} \times 3 \times 5 \times 1223 \]73380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 205632 |
| Euler totient φ(n) | 19552 |
| Square | 5384624400 |
| Cube | 395123738472000 |
| Square root | 270.887430 (= 2√18345) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.338 × |
73380 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and eighty |
| Binary (base 2) | 10001111010100100 |
| Octal (base 8) | 217244 |
| Hexadecimal (base 16) | 11EA4 |
| Base 3 | 10201122210 |
| As time | 73380 seconds = 20 h 23 min 0 s |
Is 73380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73380 ÷ 2 = 36690) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73380 ÷ 3 = 24460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73380 ÷ 4 = 18345) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73380 ÷ 5 = 14676) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73380 ÷ 6 = 12230) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73380 ÷ 10 = 7338) | 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 | Yes (73380 ÷ 12 = 6115) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73380 a prime number?
No. 73380 = × 3 × 5 × 1223, so it is divisible by 2.
What are the factors of 73380?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1223, 2446, 3669, 4892, 6115, 7338, 12230, 14676, 18345, 24460, 36690, 73380.
What is 73380 in binary?
10001111010100100 (hexadecimal 11EA4, octal 217244).
What is the square root of 73380?
About 270.8874, exactly 2√18345.
Is 73380 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73380?
It is a composite number with 24 divisors.