The number 4476
4476 is a composite number with 12 divisors. Its prime factorisation is × 3 × 373. Divisors (12): 1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4476 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4476 is composite. Its prime factorisation is
- 3
The divisors add up to 10472; without 4476 itself that is 5996, so 4476 is abundant (5996 is more than 4476). Euler's totient φ(4476) = 1488 numbers up to 4476 share no factor with it.
- 4
The digits of 4476 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4476 = 2^{2} \times 3 \times 373 \]4476 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10472 |
| Euler totient φ(n) | 1488 |
| Square | 20034576 |
| Cube | 89674762176 |
| Square root | 66.902915 (= 2√1119) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 90 |
| Scientific notation | 4.476 × |
4476 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and seventy-six |
| Binary (base 2) | 1000101111100 |
| Octal (base 8) | 10574 |
| Hexadecimal (base 16) | 117C |
| Base 3 | 20010210 |
| As time | 4476 seconds = 1 h 14 min 36 s |
Is 4476 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4476 ÷ 2 = 2238) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4476 ÷ 3 = 1492) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4476 ÷ 4 = 1119) | 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 | Yes (4476 ÷ 6 = 746) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4476 ÷ 12 = 373) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4476 a prime number?
No. 4476 = × 3 × 373, so it is divisible by 2.
What are the factors of 4476?
1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476.
What is 4476 in binary?
1000101111100 (hexadecimal 117C, octal 10574).
What is the square root of 4476?
About 66.9029, exactly 2√1119.
Is 4476 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 4476?
It is a composite number with 12 divisors.