The number 56984
56984 is a composite number with 16 divisors. Its prime factorisation is × 17 × 419. Divisors (16): 1, 2, 4, 8, 17, 34, 68, 136, 419, 838, 1676, 3352, 7123, 14246, 28492, 56984.
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How to work it out
- 1
56984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56984 is composite. Its prime factorisation is
- 3
The divisors add up to 113400; without 56984 itself that is 56416, so 56984 is deficient (56416 is less than 56984). Euler's totient φ(56984) = 26752 numbers up to 56984 share no factor with it.
- 4
The digits of 56984 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56984 = 2^{3} \times 17 \times 419 \]56984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 113400 |
| Euler totient φ(n) | 26752 |
| Square | 3247176256 |
| Cube | 185037091771904 |
| Square root | 238.713217 (= 2√14246) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.6984 × |
56984 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand nine hundred and eighty-four |
| Binary (base 2) | 1101111010011000 |
| Octal (base 8) | 157230 |
| Hexadecimal (base 16) | DE98 |
| Base 3 | 2220011112 |
| As time | 56984 seconds = 15 h 49 min 44 s |
Is 56984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56984 ÷ 2 = 28492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56984 ÷ 4 = 14246) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (56984 ÷ 8 = 7123) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56984 a prime number?
No. 56984 = × 17 × 419, so it is divisible by 2.
What are the factors of 56984?
1, 2, 4, 8, 17, 34, 68, 136, 419, 838, 1676, 3352, 7123, 14246, 28492, 56984.
What is 56984 in binary?
1101111010011000 (hexadecimal DE98, octal 157230).
What is the square root of 56984?
About 238.7132, exactly 2√14246.
Is 56984 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 56984?
It is a composite number with 16 divisors.