The number 73024
73024 is a composite number with 28 divisors. Its prime factorisation is × 7 × 163. Divisors (28): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 163, 224, 326, 448 … 73024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73024: a Harshad number: divisible by its digit sum 16.
- 2
73024 is composite. Its prime factorisation is
- 3
The divisors add up to 166624; without 73024 itself that is 93600, so 73024 is abundant (93600 is more than 73024). Euler's totient φ(73024) = 31104 numbers up to 73024 share no factor with it.
- 4
The digits of 73024 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
\[ 73024 = 2^{6} \times 7 \times 163 \]73024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 166624 |
| Euler totient φ(n) | 31104 |
| Square | 5332504576 |
| Cube | 389400814157824 |
| Square root | 270.229532 (= 8√1141) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.3024 × |
73024 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and twenty-four |
| Binary (base 2) | 10001110101000000 |
| Octal (base 8) | 216500 |
| Hexadecimal (base 16) | 11D40 |
| Base 3 | 10201011121 |
| As time | 73024 seconds = 20 h 17 min 4 s |
Is 73024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73024 ÷ 2 = 36512) | 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 (73024 ÷ 4 = 18256) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (73024 ÷ 7 = 10432) | 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 (73024 ÷ 8 = 9128) | 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 | No (remainder 4) | 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 73024 a prime number?
No. 73024 = × 7 × 163, so it is divisible by 2.
What are the factors of 73024?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 163, 224, 326, 448, 652, 1141, 1304, 2282, 2608, 4564, 5216, 9128, 10432, 18256, 36512, 73024.
What is 73024 in binary?
10001110101000000 (hexadecimal 11D40, octal 216500).
What is the square root of 73024?
About 270.2295, exactly 8√1141.
Is 73024 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 73024?
73024 is a Harshad number: divisible by its digit sum 16.