The number 73332
73332 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 97. Divisors (48): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54 … 73332.
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How to work it out
- 1
What is special about 73332: a Harshad number: divisible by its digit sum 18.
- 2
73332 is composite. Its prime factorisation is
- 3
The divisors add up to 219520; without 73332 itself that is 146188, so 73332 is abundant (146188 is more than 73332). Euler's totient φ(73332) = 20736 numbers up to 73332 share no factor with it.
- 4
The digits of 73332 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73332 = 2^{2} \times 3^{3} \times 7 \times 97 \]73332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 219520 |
| Euler totient φ(n) | 20736 |
| Square | 5377582224 |
| Cube | 394348859650368 |
| Square root | 270.798818 (= 6√2037) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3332 × |
73332 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and thirty-two |
| Binary (base 2) | 10001111001110100 |
| Octal (base 8) | 217164 |
| Hexadecimal (base 16) | 11E74 |
| Base 3 | 10201121000 |
| As time | 73332 seconds = 20 h 22 min 12 s |
Is 73332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73332 ÷ 2 = 36666) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73332 ÷ 3 = 24444) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73332 ÷ 4 = 18333) | 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 | Yes (73332 ÷ 6 = 12222) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73332 ÷ 7 = 10476) | 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 | Yes (73332 ÷ 9 = 8148) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73332 ÷ 12 = 6111) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73332 a prime number?
No. 73332 = × × 7 × 97, so it is divisible by 2.
What are the factors of 73332?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 97, 108, 126, 189, 194, 252, 291, 378, 388, 582, 679, 756, 873, 1164, 1358, 1746, 2037, 2619, 2716, 3492, 4074, 5238, 6111, 8148, 10476, 12222, 18333, 24444, 36666, 73332.
What is 73332 in binary?
10001111001110100 (hexadecimal 11E74, octal 217164).
What is the square root of 73332?
About 270.7988, exactly 6√2037.
Is 73332 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73332?
73332 is a Harshad number: divisible by its digit sum 18.