The number 4977
4977 is a composite number with 12 divisors. Its prime factorisation is × 7 × 79. Divisors (12): 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4977 is composite. Its prime factorisation is
- 3
The divisors add up to 8320; without 4977 itself that is 3343, so 4977 is deficient (3343 is less than 4977). Euler's totient φ(4977) = 2808 numbers up to 4977 share no factor with it.
- 4
The digits of 4977 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4977 = 3^{2} \times 7 \times 79 \]4977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8320 |
| Euler totient φ(n) | 2808 |
| Square | 24770529 |
| Cube | 123282922833 |
| Square root | 70.547856 (= 3√553) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 4.977 × |
4977 in other forms
| Form | Value |
|---|---|
| In words | four thousand nine hundred and seventy-seven |
| Binary (base 2) | 1001101110001 |
| Octal (base 8) | 11561 |
| Hexadecimal (base 16) | 1371 |
| Base 3 | 20211100 |
| As time | 4977 seconds = 1 h 22 min 57 s |
Is 4977 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 (4977 ÷ 3 = 1659) | 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 2) | 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 | Yes (4977 ÷ 7 = 711) | 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 | Yes (4977 ÷ 9 = 553) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 4977 a prime number?
No. 4977 = × 7 × 79, so it is divisible by 3.
What are the factors of 4977?
1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977.
What is 4977 in binary?
1001101110001 (hexadecimal 1371, octal 11561).
What is the square root of 4977?
About 70.5479, exactly 3√553.
Is 4977 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 4977?
It is a composite number with 12 divisors.