The number 46878
46878 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 601. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 601, 1202, 1803, 3606, 7813, 15626, 23439, 46878.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46878 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46878 is composite. Its prime factorisation is
- 3
The divisors add up to 101136; without 46878 itself that is 54258, so 46878 is abundant (54258 is more than 46878). Euler's totient φ(46878) = 14400 numbers up to 46878 share no factor with it.
- 4
The digits of 46878 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46878 = 2 \times 3 \times 13 \times 601 \]
46878 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 101136 |
| Euler totient φ(n) | 14400 |
| Square | 2197546884 |
| Cube | 103016602828152 |
| Square root | 216.513279 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6878 × |
46878 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and seventy-eight |
| Binary (base 2) | 1011011100011110 |
| Octal (base 8) | 133436 |
| Hexadecimal (base 16) | B71E |
| Base 3 | 2101022020 |
| As time | 46878 seconds = 13 h 1 min 18 s |
Is 46878 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46878 ÷ 2 = 23439) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46878 ÷ 3 = 15626) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46878 ÷ 6 = 7813) | 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 | No (remainder 6) | 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 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46878 a prime number?
No. 46878 = 2 × 3 × 13 × 601, so it is divisible by 2.
What are the factors of 46878?
1, 2, 3, 6, 13, 26, 39, 78, 601, 1202, 1803, 3606, 7813, 15626, 23439, 46878.
What is 46878 in binary?
1011011100011110 (hexadecimal B71E, octal 133436).
What is the square root of 46878?
About 216.5133.
Is 46878 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 46878?
It is a composite number with 16 divisors.