The number 18672
18672 is a composite number with 20 divisors. Its prime factorisation is × 3 × 389. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 389, 778, 1167, 1556, 2334, 3112 … 18672.
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How to work it out
- 1
What is special about 18672: a Harshad number: divisible by its digit sum 24.
- 2
18672 is composite. Its prime factorisation is
- 3
The divisors add up to 48360; without 18672 itself that is 29688, so 18672 is abundant (29688 is more than 18672). Euler's totient φ(18672) = 6208 numbers up to 18672 share no factor with it.
- 4
The digits of 18672 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 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18672 = 2^{4} \times 3 \times 389 \]18672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 48360 |
| Euler totient φ(n) | 6208 |
| Square | 348643584 |
| Cube | 6509873000448 |
| Square root | 136.645527 (= 4√1167) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.8672 × |
18672 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand six hundred and seventy-two |
| Binary (base 2) | 100100011110000 |
| Octal (base 8) | 44360 |
| Hexadecimal (base 16) | 48F0 |
| Base 3 | 221121120 |
| As time | 18672 seconds = 5 h 11 min 12 s |
Is 18672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18672 ÷ 2 = 9336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18672 ÷ 3 = 6224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18672 ÷ 4 = 4668) | 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 (18672 ÷ 6 = 3112) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (18672 ÷ 8 = 2334) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18672 ÷ 12 = 1556) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18672 a prime number?
No. 18672 = × 3 × 389, so it is divisible by 2.
What are the factors of 18672?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 389, 778, 1167, 1556, 2334, 3112, 4668, 6224, 9336, 18672.
What is 18672 in binary?
100100011110000 (hexadecimal 48F0, octal 44360).
What is the square root of 18672?
About 136.6455, exactly 4√1167.
Is 18672 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 18672?
18672 is a Harshad number: divisible by its digit sum 24.