The number 46890
46890 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 521. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 521, 1042, 1563, 2605 … 46890.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46890 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46890 is composite. Its prime factorisation is
- 3
The divisors add up to 122148; without 46890 itself that is 75258, so 46890 is abundant (75258 is more than 46890). Euler's totient φ(46890) = 12480 numbers up to 46890 share no factor with it.
- 4
The digits of 46890 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46890 = 2 \times 3^{2} \times 5 \times 521 \]46890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 122148 |
| Euler totient φ(n) | 12480 |
| Square | 2198672100 |
| Cube | 103095734769000 |
| Square root | 216.540989 (= 3√5210) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.689 × |
46890 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and ninety |
| Binary (base 2) | 1011011100101010 |
| Octal (base 8) | 133452 |
| Hexadecimal (base 16) | B72A |
| Base 3 | 2101022200 |
| As time | 46890 seconds = 13 h 1 min 30 s |
Is 46890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46890 ÷ 2 = 23445) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46890 ÷ 3 = 15630) | 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 | Yes (46890 ÷ 5 = 9378) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46890 ÷ 6 = 7815) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (46890 ÷ 9 = 5210) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46890 ÷ 10 = 4689) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46890 a prime number?
No. 46890 = 2 × × 5 × 521, so it is divisible by 2.
What are the factors of 46890?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 521, 1042, 1563, 2605, 3126, 4689, 5210, 7815, 9378, 15630, 23445, 46890.
What is 46890 in binary?
1011011100101010 (hexadecimal B72A, octal 133452).
What is the square root of 46890?
About 216.5410, exactly 3√5210.
Is 46890 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46890?
It is a composite number with 24 divisors.