The number 36672
36672 is a composite number with 28 divisors. Its prime factorisation is × 3 × 191. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 191, 192, 382 … 36672.
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How to work it out
- 1
What is special about 36672: a Harshad number: divisible by its digit sum 24.
- 2
36672 is composite. Its prime factorisation is
- 3
The divisors add up to 97536; without 36672 itself that is 60864, so 36672 is abundant (60864 is more than 36672). Euler's totient φ(36672) = 12160 numbers up to 36672 share no factor with it.
- 4
The digits of 36672 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36672 = 2^{6} \times 3 \times 191 \]36672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 97536 |
| Euler totient φ(n) | 12160 |
| Square | 1344835584 |
| Cube | 49317810536448 |
| Square root | 191.499347 (= 8√573) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.6672 × |
36672 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand six hundred and seventy-two |
| Binary (base 2) | 1000111101000000 |
| Octal (base 8) | 107500 |
| Hexadecimal (base 16) | 8F40 |
| Base 3 | 1212022020 |
| As time | 36672 seconds = 10 h 11 min 12 s |
Is 36672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36672 ÷ 2 = 18336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36672 ÷ 3 = 12224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36672 ÷ 4 = 9168) | 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 (36672 ÷ 6 = 6112) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (36672 ÷ 8 = 4584) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (36672 ÷ 12 = 3056) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36672 a prime number?
No. 36672 = × 3 × 191, so it is divisible by 2.
What are the factors of 36672?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 191, 192, 382, 573, 764, 1146, 1528, 2292, 3056, 4584, 6112, 9168, 12224, 18336, 36672.
What is 36672 in binary?
1000111101000000 (hexadecimal 8F40, octal 107500).
What is the square root of 36672?
About 191.4993, exactly 8√573.
Is 36672 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 36672?
36672 is a Harshad number: divisible by its digit sum 24.