The number 4976
4976 is a composite number with 10 divisors. Its prime factorisation is × 311. Divisors (10): 1, 2, 4, 8, 16, 311, 622, 1244, 2488, 4976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4976 is composite. Its prime factorisation is
- 3
The divisors add up to 9672; without 4976 itself that is 4696, so 4976 is deficient (4696 is less than 4976). Euler's totient φ(4976) = 2480 numbers up to 4976 share no factor with it.
- 4
The digits of 4976 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4976 = 2^{4} \times 311 \]4976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 9672 |
| Euler totient φ(n) | 2480 |
| Square | 24760576 |
| Cube | 123208626176 |
| Square root | 70.540768 (= 4√311) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 90 |
| Scientific notation | 4.976 × |
4976 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and seventy-six |
| Binary (base 2) | 1001101110000 |
| Octal (base 8) | 11560 |
| Hexadecimal (base 16) | 1370 |
| Base 3 | 20211022 |
| As time | 4976 seconds = 1 h 22 min 56 s |
Is 4976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4976 ÷ 2 = 2488) | 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 (4976 ÷ 4 = 1244) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | Yes (4976 ÷ 8 = 622) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 4976 a prime number?
No. 4976 = × 311, so it is divisible by 2.
What are the factors of 4976?
1, 2, 4, 8, 16, 311, 622, 1244, 2488, 4976.
What is 4976 in binary?
1001101110000 (hexadecimal 1370, octal 11560).
What is the square root of 4976?
About 70.5408, exactly 4√311.
Is 4976 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 4976?
It is a composite number with 10 divisors.