The number 46189
46189 is a composite number with 16 divisors. Its prime factorisation is 11 × 13 × 17 × 19. Divisors (16): 1, 11, 13, 17, 19, 143, 187, 209, 221, 247, 323, 2431, 2717, 3553, 4199, 46189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46189 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46189 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 46189 itself that is 14291, so 46189 is deficient (14291 is less than 46189). Euler's totient φ(46189) = 34560 numbers up to 46189 share no factor with it.
- 4
The digits of 46189 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46189 = 11 \times 13 \times 17 \times 19 \]
46189 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 34560 |
| Square | 2133423721 |
| Cube | 98540708249269 |
| Square root | 214.916263 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6189 × |
46189 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand one hundred and eighty-nine |
| Binary (base 2) | 1011010001101101 |
| Octal (base 8) | 132155 |
| Hexadecimal (base 16) | B46D |
| Base 3 | 2100100201 |
| As time | 46189 seconds = 12 h 49 min 49 s |
Is 46189 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 | No (remainder 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (46189 ÷ 11 = 4199) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46189 a prime number?
No. 46189 = 11 × 13 × 17 × 19, so it is divisible by 11.
What are the factors of 46189?
1, 11, 13, 17, 19, 143, 187, 209, 221, 247, 323, 2431, 2717, 3553, 4199, 46189.
What is 46189 in binary?
1011010001101101 (hexadecimal B46D, octal 132155).
What is the square root of 46189?
About 214.9163.
Is 46189 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 46189?
It is a composite number with 16 divisors.