The number 32496
32496 is a composite number with 20 divisors. Its prime factorisation is × 3 × 677. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 677, 1354, 2031, 2708, 4062, 5416 … 32496.
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How to work it out
- 1
What is special about 32496: a Harshad number: divisible by its digit sum 24.
- 2
32496 is composite. Its prime factorisation is
- 3
The divisors add up to 84072; without 32496 itself that is 51576, so 32496 is abundant (51576 is more than 32496). Euler's totient φ(32496) = 10816 numbers up to 32496 share no factor with it.
- 4
The digits of 32496 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32496 = 2^{4} \times 3 \times 677 \]32496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 84072 |
| Euler totient φ(n) | 10816 |
| Square | 1055990016 |
| Cube | 34315451559936 |
| Square root | 180.266469 (= 4√2031) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2496 × |
32496 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand four hundred and ninety-six |
| Binary (base 2) | 111111011110000 |
| Octal (base 8) | 77360 |
| Hexadecimal (base 16) | 7EF0 |
| Base 3 | 1122120120 |
| As time | 32496 seconds = 9 h 1 min 36 s |
Is 32496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32496 ÷ 2 = 16248) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32496 ÷ 3 = 10832) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32496 ÷ 4 = 8124) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32496 ÷ 6 = 5416) | 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 (32496 ÷ 8 = 4062) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32496 ÷ 12 = 2708) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32496 a prime number?
No. 32496 = × 3 × 677, so it is divisible by 2.
What are the factors of 32496?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 677, 1354, 2031, 2708, 4062, 5416, 8124, 10832, 16248, 32496.
What is 32496 in binary?
111111011110000 (hexadecimal 7EF0, octal 77360).
What is the square root of 32496?
About 180.2665, exactly 4√2031.
Is 32496 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 32496?
32496 is a Harshad number: divisible by its digit sum 24.