The number 73472
73472 is a composite number with 36 divisors. Its prime factorisation is × 7 × 41. Divisors (36): 1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 64, 82, 112, 128, 164 … 73472.
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How to work it out
- 1
73472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73472 is composite. Its prime factorisation is
- 3
The divisors add up to 171696; without 73472 itself that is 98224, so 73472 is abundant (98224 is more than 73472). Euler's totient φ(73472) = 30720 numbers up to 73472 share no factor with it.
- 4
The digits of 73472 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73472 = 2^{8} \times 7 \times 41 \]73472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 171696 |
| Euler totient φ(n) | 30720 |
| Square | 5398134784 |
| Cube | 396611758850048 |
| Square root | 271.057190 (= 16√287) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.3472 × |
73472 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and seventy-two |
| Binary (base 2) | 10001111100000000 |
| Octal (base 8) | 217400 |
| Hexadecimal (base 16) | 11F00 |
| Base 3 | 10201210012 |
| As time | 73472 seconds = 20 h 24 min 32 s |
Is 73472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73472 ÷ 2 = 36736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73472 ÷ 4 = 18368) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73472 ÷ 7 = 10496) | 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 (73472 ÷ 8 = 9184) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73472 a prime number?
No. 73472 = × 7 × 41, so it is divisible by 2.
What are the factors of 73472?
1, 2, 4, 7, 8, 14, 16, 28, 32, 41, 56, 64, 82, 112, 128, 164, 224, 256, 287, 328, 448, 574, 656, 896, 1148, 1312, 1792, 2296, 2624, 4592, 5248, 9184, 10496, 18368, 36736, 73472.
What is 73472 in binary?
10001111100000000 (hexadecimal 11F00, octal 217400).
What is the square root of 73472?
About 271.0572, exactly 16√287.
Is 73472 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 73472?
It is a composite number with 36 divisors.