The number 46989
46989 is a composite number with 12 divisors. Its prime factorisation is × 23 × 227. Divisors (12): 1, 3, 9, 23, 69, 207, 227, 681, 2043, 5221, 15663, 46989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46989 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46989 is composite. Its prime factorisation is
- 3
The divisors add up to 71136; without 46989 itself that is 24147, so 46989 is deficient (24147 is less than 46989). Euler's totient φ(46989) = 29832 numbers up to 46989 share no factor with it.
- 4
The digits of 46989 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46989 = 3^{2} \times 23 \times 227 \]46989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71136 |
| Euler totient φ(n) | 29832 |
| Square | 2207966121 |
| Cube | 103750120059669 |
| Square root | 216.769463 (= 3√5221) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.6989 × |
46989 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and eighty-nine |
| Binary (base 2) | 1011011110001101 |
| Octal (base 8) | 133615 |
| Hexadecimal (base 16) | B78D |
| Base 3 | 2101110100 |
| As time | 46989 seconds = 13 h 3 min 9 s |
Is 46989 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 (46989 ÷ 3 = 15663) | 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 5) | 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 | Yes (46989 ÷ 9 = 5221) | 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 8) | 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 46989 a prime number?
No. 46989 = × 23 × 227, so it is divisible by 3.
What are the factors of 46989?
1, 3, 9, 23, 69, 207, 227, 681, 2043, 5221, 15663, 46989.
What is 46989 in binary?
1011011110001101 (hexadecimal B78D, octal 133615).
What is the square root of 46989?
About 216.7695, exactly 3√5221.
Is 46989 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 46989?
It is a composite number with 12 divisors.