The number 32248
32248 is a composite number with 16 divisors. Its prime factorisation is × 29 × 139. Divisors (16): 1, 2, 4, 8, 29, 58, 116, 139, 232, 278, 556, 1112, 4031, 8062, 16124, 32248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32248: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32248 is composite. Its prime factorisation is
- 3
The divisors add up to 63000; without 32248 itself that is 30752, so 32248 is deficient (30752 is less than 32248). Euler's totient φ(32248) = 15456 numbers up to 32248 share no factor with it.
- 4
The digits of 32248 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32248 = 2^{3} \times 29 \times 139 \]32248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 63000 |
| Euler totient φ(n) | 15456 |
| Square | 1039933504 |
| Cube | 33535775636992 |
| Square root | 179.577281 (= 2√8062) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.2248 × |
32248 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and forty-eight |
| Binary (base 2) | 111110111111000 |
| Octal (base 8) | 76770 |
| Hexadecimal (base 16) | 7DF8 |
| Base 3 | 1122020101 |
| As time | 32248 seconds = 8 h 57 min 28 s |
Is 32248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32248 ÷ 2 = 16124) | 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 (32248 ÷ 4 = 8062) | 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 | No (remainder 4) | 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 (32248 ÷ 8 = 4031) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | 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 32248 a prime number?
No. 32248 = × 29 × 139, so it is divisible by 2.
What are the factors of 32248?
1, 2, 4, 8, 29, 58, 116, 139, 232, 278, 556, 1112, 4031, 8062, 16124, 32248.
What is 32248 in binary?
111110111111000 (hexadecimal 7DF8, octal 76770).
What is the square root of 32248?
About 179.5773, exactly 2√8062.
Is 32248 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 32248?
32248 is a happy number: repeatedly adding the squares of its digits reaches 1.