The number 46826
46826 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1801. Divisors (8): 1, 2, 13, 26, 1801, 3602, 23413, 46826.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46826: a Harshad number: divisible by its digit sum 26.
- 2
46826 is composite. Its prime factorisation is
- 3
The divisors add up to 75684; without 46826 itself that is 28858, so 46826 is deficient (28858 is less than 46826). Euler's totient φ(46826) = 21600 numbers up to 46826 share no factor with it.
- 4
The digits of 46826 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46826 = 2 \times 13 \times 1801 \]
46826 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75684 |
| Euler totient φ(n) | 21600 |
| Square | 2192674276 |
| Cube | 102674165647976 |
| Square root | 216.393161 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6826 × |
46826 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and twenty-six |
| Binary (base 2) | 1011011011101010 |
| Octal (base 8) | 133352 |
| Hexadecimal (base 16) | B6EA |
| Base 3 | 2101020022 |
| As time | 46826 seconds = 13 h 0 min 26 s |
Is 46826 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46826 ÷ 2 = 23413) | 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 1) | 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 | No (remainder 3) | 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 8) | 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 10) | 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 46826 a prime number?
No. 46826 = 2 × 13 × 1801, so it is divisible by 2.
What are the factors of 46826?
1, 2, 13, 26, 1801, 3602, 23413, 46826.
What is 46826 in binary?
1011011011101010 (hexadecimal B6EA, octal 133352).
What is the square root of 46826?
About 216.3932.
Is 46826 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 46826?
46826 is a Harshad number: divisible by its digit sum 26.