The number 73480
73480 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 167. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 167, 220 … 73480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73480: a Harshad number: divisible by its digit sum 22.
- 2
73480 is composite. Its prime factorisation is
- 3
The divisors add up to 181440; without 73480 itself that is 107960, so 73480 is abundant (107960 is more than 73480). Euler's totient φ(73480) = 26560 numbers up to 73480 share no factor with it.
- 4
The digits of 73480 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73480 = 2^{3} \times 5 \times 11 \times 167 \]73480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 181440 |
| Euler totient φ(n) | 26560 |
| Square | 5399310400 |
| Cube | 396741328192000 |
| Square root | 271.071946 (= 2√18370) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.348 × |
73480 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and eighty |
| Binary (base 2) | 10001111100001000 |
| Octal (base 8) | 217410 |
| Hexadecimal (base 16) | 11F08 |
| Base 3 | 10201210111 |
| As time | 73480 seconds = 20 h 24 min 40 s |
Is 73480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73480 ÷ 2 = 36740) | 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 (73480 ÷ 4 = 18370) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73480 ÷ 5 = 14696) | 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 1) | 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 | Yes (73480 ÷ 8 = 9185) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73480 ÷ 10 = 7348) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (73480 ÷ 11 = 6680) | 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 73480 a prime number?
No. 73480 = × 5 × 11 × 167, so it is divisible by 2.
What are the factors of 73480?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 167, 220, 334, 440, 668, 835, 1336, 1670, 1837, 3340, 3674, 6680, 7348, 9185, 14696, 18370, 36740, 73480.
What is 73480 in binary?
10001111100001000 (hexadecimal 11F08, octal 217410).
What is the square root of 73480?
About 271.0719, exactly 2√18370.
Is 73480 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73480?
73480 is a Harshad number: divisible by its digit sum 22.