The number 4984
4984 is a composite number with 16 divisors. Its prime factorisation is × 7 × 89. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 89, 178, 356, 623, 712, 1246, 2492, 4984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4984 is composite. Its prime factorisation is
- 3
The divisors add up to 10800; without 4984 itself that is 5816, so 4984 is abundant (5816 is more than 4984). Euler's totient φ(4984) = 2112 numbers up to 4984 share no factor with it.
- 4
The digits of 4984 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4984 = 2^{3} \times 7 \times 89 \]4984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10800 |
| Euler totient φ(n) | 2112 |
| Square | 24840256 |
| Cube | 123803835904 |
| Square root | 70.597450 (= 2√1246) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 134 |
| Scientific notation | 4.984 × |
4984 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and eighty-four |
| Binary (base 2) | 1001101111000 |
| Octal (base 8) | 11570 |
| Hexadecimal (base 16) | 1378 |
| Base 3 | 20211121 |
| As time | 4984 seconds = 1 h 23 min 4 s |
Is 4984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4984 ÷ 2 = 2492) | 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 (4984 ÷ 4 = 1246) | 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 (4984 ÷ 7 = 712) | 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 (4984 ÷ 8 = 623) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 1) | 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 4984 a prime number?
No. 4984 = × 7 × 89, so it is divisible by 2.
What are the factors of 4984?
1, 2, 4, 7, 8, 14, 28, 56, 89, 178, 356, 623, 712, 1246, 2492, 4984.
What is 4984 in binary?
1001101111000 (hexadecimal 1378, octal 11570).
What is the square root of 4984?
About 70.5975, exactly 2√1246.
Is 4984 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 4984?
It is a composite number with 16 divisors.