The number 18832
18832 is a composite number with 20 divisors. Its prime factorisation is × 11 × 107. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 107, 176, 214, 428, 856, 1177, 1712 … 18832.
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How to work it out
- 1
What is special about 18832: a Harshad number: divisible by its digit sum 22.
- 2
18832 is composite. Its prime factorisation is
- 3
The divisors add up to 40176; without 18832 itself that is 21344, so 18832 is abundant (21344 is more than 18832). Euler's totient φ(18832) = 8480 numbers up to 18832 share no factor with it.
- 4
The digits of 18832 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18832 = 2^{4} \times 11 \times 107 \]18832 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 40176 |
| Euler totient φ(n) | 8480 |
| Square | 354644224 |
| Cube | 6678660026368 |
| Square root | 137.229734 (= 4√1177) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.8832 × |
18832 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand eight hundred and thirty-two |
| Binary (base 2) | 100100110010000 |
| Octal (base 8) | 44620 |
| Hexadecimal (base 16) | 4990 |
| Base 3 | 221211111 |
| As time | 18832 seconds = 5 h 13 min 52 s |
Is 18832 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18832 ÷ 2 = 9416) | 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 (18832 ÷ 4 = 4708) | 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 2) | 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 (18832 ÷ 8 = 2354) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (18832 ÷ 11 = 1712) | 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 18832 a prime number?
No. 18832 = × 11 × 107, so it is divisible by 2.
What are the factors of 18832?
1, 2, 4, 8, 11, 16, 22, 44, 88, 107, 176, 214, 428, 856, 1177, 1712, 2354, 4708, 9416, 18832.
What is 18832 in binary?
100100110010000 (hexadecimal 4990, octal 44620).
What is the square root of 18832?
About 137.2297, exactly 4√1177.
Is 18832 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 18832?
18832 is a Harshad number: divisible by its digit sum 22.