The number 46984
46984 is a composite number with 16 divisors. Its prime factorisation is × 7 × 839. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 839, 1678, 3356, 5873, 6712, 11746, 23492, 46984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46984 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 46984 itself that is 53816, so 46984 is abundant (53816 is more than 46984). Euler's totient φ(46984) = 20112 numbers up to 46984 share no factor with it.
- 4
The digits of 46984 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46984 = 2^{3} \times 7 \times 839 \]46984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 20112 |
| Square | 2207496256 |
| Cube | 103717004091904 |
| Square root | 216.757929 (= 2√11746) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.6984 × |
46984 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and eighty-four |
| Binary (base 2) | 1011011110001000 |
| Octal (base 8) | 133610 |
| Hexadecimal (base 16) | B788 |
| Base 3 | 2101110011 |
| As time | 46984 seconds = 13 h 3 min 4 s |
Is 46984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46984 ÷ 2 = 23492) | 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 | Yes (46984 ÷ 4 = 11746) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46984 ÷ 7 = 6712) | 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 | Yes (46984 ÷ 8 = 5873) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46984 a prime number?
No. 46984 = × 7 × 839, so it is divisible by 2.
What are the factors of 46984?
1, 2, 4, 7, 8, 14, 28, 56, 839, 1678, 3356, 5873, 6712, 11746, 23492, 46984.
What is 46984 in binary?
1011011110001000 (hexadecimal B788, octal 133610).
What is the square root of 46984?
About 216.7579, exactly 2√11746.
Is 46984 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 46984?
It is a composite number with 16 divisors.