The number 32802
32802 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 11 × 71. Divisors (32): 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 71, 77, 142, 154 … 32802.
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How to work it out
- 1
32802 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32802 is composite. Its prime factorisation is
- 3
The divisors add up to 82944; without 32802 itself that is 50142, so 32802 is abundant (50142 is more than 32802). Euler's totient φ(32802) = 8400 numbers up to 32802 share no factor with it.
- 4
The digits of 32802 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32802 = 2 \times 3 \times 7 \times 11 \times 71 \]
32802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 82944 |
| Euler totient φ(n) | 8400 |
| Square | 1075971204 |
| Cube | 35294007433608 |
| Square root | 181.113224 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2802 × |
32802 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and two |
| Binary (base 2) | 1000000000100010 |
| Octal (base 8) | 100042 |
| Hexadecimal (base 16) | 8022 |
| Base 3 | 1122222220 |
| As time | 32802 seconds = 9 h 6 min 42 s |
Is 32802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32802 ÷ 2 = 16401) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32802 ÷ 3 = 10934) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (32802 ÷ 6 = 5467) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32802 ÷ 7 = 4686) | 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 2) | 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 | Yes (32802 ÷ 11 = 2982) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32802 a prime number?
No. 32802 = 2 × 3 × 7 × 11 × 71, so it is divisible by 2.
What are the factors of 32802?
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 71, 77, 142, 154, 213, 231, 426, 462, 497, 781, 994, 1491, 1562, 2343, 2982, 4686, 5467, 10934, 16401, 32802.
What is 32802 in binary?
1000000000100010 (hexadecimal 8022, octal 100042).
What is the square root of 32802?
About 181.1132.
Is 32802 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 32802?
It is a composite number with 32 divisors.