The number 46689
46689 is a composite number with 8 divisors. Its prime factorisation is 3 × 79 × 197. Divisors (8): 1, 3, 79, 197, 237, 591, 15563, 46689.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46689 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46689 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 46689 itself that is 16671, so 46689 is deficient (16671 is less than 46689). Euler's totient φ(46689) = 30576 numbers up to 46689 share no factor with it.
- 4
The digits of 46689 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46689 = 3 \times 79 \times 197 \]
46689 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 30576 |
| Square | 2179862721 |
| Cube | 101775610580769 |
| Square root | 216.076375 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6689 × |
46689 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and eighty-nine |
| Binary (base 2) | 1011011001100001 |
| Octal (base 8) | 133141 |
| Hexadecimal (base 16) | B661 |
| Base 3 | 2101001020 |
| As time | 46689 seconds = 12 h 58 min 9 s |
Is 46689 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 (46689 ÷ 3 = 15563) | 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 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 46689 a prime number?
No. 46689 = 3 × 79 × 197, so it is divisible by 3.
What are the factors of 46689?
1, 3, 79, 197, 237, 591, 15563, 46689.
What is 46689 in binary?
1011011001100001 (hexadecimal B661, octal 133141).
What is the square root of 46689?
About 216.0764.
Is 46689 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 46689?
It is a composite number with 8 divisors.