The number 4477
4477 is a composite number with 6 divisors. Its prime factorisation is Ć 37. Divisors (6): 1, 11, 37, 121, 407, 4477.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4477: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4477 is composite. Its prime factorisation is
- 3
The divisors add up to 5054; without 4477 itself that is 577, so 4477 is deficient (577 is less than 4477). Euler's totient Ļ(4477) = 3960 numbers up to 4477 share no factor with it.
- 4
The digits of 4477 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4477 = 11^{2} \times 37 \]4477 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 5054 |
| Euler totient Ļ(n) | 3960 |
| Square | 20043529 |
| Cube | 89734879333 |
| Square root | 66.910388 (= 11ā37) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 90 |
| Scientific notation | 4.477 Ć |
4477 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and seventy-seven |
| Binary (base 2) | 1000101111101 |
| Octal (base 8) | 10575 |
| Hexadecimal (base 16) | 117D |
| Base 3 | 20010211 |
| As time | 4477 seconds = 1 h 14 min 37 s |
Is 4477 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | Yes (4477 Ć· 11 = 407) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4477 a prime number?
No. 4477 = Ć 37, so it is divisible by 11.
What are the factors of 4477?
1, 11, 37, 121, 407, 4477.
What is 4477 in binary?
1000101111101 (hexadecimal 117D, octal 10575).
What is the square root of 4477?
About 66.9104, exactly 11ā37.
Is 4477 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 4477?
4477 is a happy number: repeatedly adding the squares of its digits reaches 1.