The number 4676
4676 is a composite number with 12 divisors. Its prime factorisation is × 7 × 167. Divisors (12): 1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, 4676.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4676 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4676 is composite. Its prime factorisation is
- 3
The divisors add up to 9408; without 4676 itself that is 4732, so 4676 is abundant (4732 is more than 4676). Euler's totient φ(4676) = 1992 numbers up to 4676 share no factor with it.
- 4
The digits of 4676 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4676 = 2^{2} \times 7 \times 167 \]4676 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9408 |
| Euler totient φ(n) | 1992 |
| Square | 21864976 |
| Cube | 102240627776 |
| Square root | 68.381284 (= 2√1169) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.676 × |
4676 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and seventy-six |
| Binary (base 2) | 1001001000100 |
| Octal (base 8) | 11104 |
| Hexadecimal (base 16) | 1244 |
| Base 3 | 20102012 |
| As time | 4676 seconds = 1 h 17 min 56 s |
Is 4676 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4676 ÷ 2 = 2338) | 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 (4676 ÷ 4 = 1169) | 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 | Yes (4676 ÷ 7 = 668) | 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 4) | 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 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4676 a prime number?
No. 4676 = × 7 × 167, so it is divisible by 2.
What are the factors of 4676?
1, 2, 4, 7, 14, 28, 167, 334, 668, 1169, 2338, 4676.
What is 4676 in binary?
1001001000100 (hexadecimal 1244, octal 11104).
What is the square root of 4676?
About 68.3813, exactly 2√1169.
Is 4676 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 4676?
It is a composite number with 12 divisors.