The number 46089
46089 is a composite number with 10 divisors. Its prime factorisation is × 569. Divisors (10): 1, 3, 9, 27, 81, 569, 1707, 5121, 15363, 46089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46089: a Harshad number: divisible by its digit sum 27.
- 2
46089 is composite. Its prime factorisation is
- 3
The divisors add up to 68970; without 46089 itself that is 22881, so 46089 is deficient (22881 is less than 46089). Euler's totient φ(46089) = 30672 numbers up to 46089 share no factor with it.
- 4
The digits of 46089 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46089 = 3^{4} \times 569 \]46089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 68970 |
| Euler totient φ(n) | 30672 |
| Square | 2124195921 |
| Cube | 97902065802969 |
| Square root | 214.683488 (= 9√569) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6089 × |
46089 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and eighty-nine |
| Binary (base 2) | 1011010000001001 |
| Octal (base 8) | 132011 |
| Hexadecimal (base 16) | B409 |
| Base 3 | 2100020000 |
| As time | 46089 seconds = 12 h 48 min 9 s |
Is 46089 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46089 ÷ 3 = 15363) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46089 ÷ 9 = 5121) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46089 a prime number?
No. 46089 = × 569, so it is divisible by 3.
What are the factors of 46089?
1, 3, 9, 27, 81, 569, 1707, 5121, 15363, 46089.
What is 46089 in binary?
1011010000001001 (hexadecimal B409, octal 132011).
What is the square root of 46089?
About 214.6835, exactly 9√569.
Is 46089 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46089?
46089 is a Harshad number: divisible by its digit sum 27.