The number 73312
73312 is a composite number with 24 divisors. Its prime factorisation is × 29 × 79. Divisors (24): 1, 2, 4, 8, 16, 29, 32, 58, 79, 116, 158, 232, 316, 464, 632, 928 … 73312.
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How to work it out
- 1
What is special about 73312: a Harshad number: divisible by its digit sum 16.
- 2
73312 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 73312 itself that is 77888, so 73312 is abundant (77888 is more than 73312). Euler's totient φ(73312) = 34944 numbers up to 73312 share no factor with it.
- 4
The digits of 73312 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73312 = 2^{5} \times 29 \times 79 \]73312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 34944 |
| Square | 5374649344 |
| Cube | 394026292707328 |
| Square root | 270.761888 (= 4√4582) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3312 × |
73312 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and twelve |
| Binary (base 2) | 10001111001100000 |
| Octal (base 8) | 217140 |
| Hexadecimal (base 16) | 11E60 |
| Base 3 | 10201120021 |
| As time | 73312 seconds = 20 h 21 min 52 s |
Is 73312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73312 ÷ 2 = 36656) | 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 (73312 ÷ 4 = 18328) | 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 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 (73312 ÷ 8 = 9164) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 73312 a prime number?
No. 73312 = × 29 × 79, so it is divisible by 2.
What are the factors of 73312?
1, 2, 4, 8, 16, 29, 32, 58, 79, 116, 158, 232, 316, 464, 632, 928, 1264, 2291, 2528, 4582, 9164, 18328, 36656, 73312.
What is 73312 in binary?
10001111001100000 (hexadecimal 11E60, octal 217140).
What is the square root of 73312?
About 270.7619, exactly 4√4582.
Is 73312 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 73312?
73312 is a Harshad number: divisible by its digit sum 16.