The number 46802
46802 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 3343. Divisors (8): 1, 2, 7, 14, 3343, 6686, 23401, 46802.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46802 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46802 is composite. Its prime factorisation is
- 3
The divisors add up to 80256; without 46802 itself that is 33454, so 46802 is deficient (33454 is less than 46802). Euler's totient φ(46802) = 20052 numbers up to 46802 share no factor with it.
- 4
The digits of 46802 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46802 = 2 \times 7 \times 3343 \]
46802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 80256 |
| Euler totient φ(n) | 20052 |
| Square | 2190427204 |
| Cube | 102516374001608 |
| Square root | 216.337699 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6802 × |
46802 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and two |
| Binary (base 2) | 1011011011010010 |
| Octal (base 8) | 133322 |
| Hexadecimal (base 16) | B6D2 |
| Base 3 | 2101012102 |
| As time | 46802 seconds = 13 h 0 min 2 s |
Is 46802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46802 ÷ 2 = 23401) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46802 ÷ 7 = 6686) | 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 2) | 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 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46802 a prime number?
No. 46802 = 2 × 7 × 3343, so it is divisible by 2.
What are the factors of 46802?
1, 2, 7, 14, 3343, 6686, 23401, 46802.
What is 46802 in binary?
1011011011010010 (hexadecimal B6D2, octal 133322).
What is the square root of 46802?
About 216.3377.
Is 46802 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 46802?
It is a composite number with 8 divisors.