The number 32148
32148 is a composite number with 36 divisors. Its prime factorisation is × × 19 × 47. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 47, 57, 76, 94, 114 … 32148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32148: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
32148 is composite. Its prime factorisation is
- 3
The divisors add up to 87360; without 32148 itself that is 55212, so 32148 is abundant (55212 is more than 32148). Euler's totient φ(32148) = 9936 numbers up to 32148 share no factor with it.
- 4
The digits of 32148 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 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32148 = 2^{2} \times 3^{2} \times 19 \times 47 \]32148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 87360 |
| Euler totient φ(n) | 9936 |
| Square | 1033493904 |
| Cube | 33224762025792 |
| Square root | 179.298634 (= 6√893) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 28 |
| Scientific notation | 3.2148 × |
32148 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred and forty-eight |
| Binary (base 2) | 111110110010100 |
| Octal (base 8) | 76624 |
| Hexadecimal (base 16) | 7D94 |
| Base 3 | 1122002200 |
| As time | 32148 seconds = 8 h 55 min 48 s |
Is 32148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32148 ÷ 2 = 16074) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32148 ÷ 3 = 10716) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32148 ÷ 4 = 8037) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32148 ÷ 6 = 5358) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (32148 ÷ 9 = 3572) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 (32148 ÷ 12 = 2679) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32148 a prime number?
No. 32148 = × × 19 × 47, so it is divisible by 2.
What are the factors of 32148?
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 47, 57, 76, 94, 114, 141, 171, 188, 228, 282, 342, 423, 564, 684, 846, 893, 1692, 1786, 2679, 3572, 5358, 8037, 10716, 16074, 32148.
What is 32148 in binary?
111110110010100 (hexadecimal 7D94, octal 76624).
What is the square root of 32148?
About 179.2986, exactly 6√893.
Is 32148 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32148?
32148 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.