The number 4444
4444 is a palindrome: it reads 4444 backwards too. Its prime factorisation is × 11 × 101. Divisors (12): 1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222, 4444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4444: a palindrome: it reads 4444 backwards too.
- 2
4444 is composite. Its prime factorisation is
- 3
The divisors add up to 8568; without 4444 itself that is 4124, so 4444 is deficient (4124 is less than 4444). Euler's totient φ(4444) = 2000 numbers up to 4444 share no factor with it.
- 4
The digits of 4444 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4444 = 2^{2} \times 11 \times 101 \]4444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8568 |
| Euler totient φ(n) | 2000 |
| Square | 19749136 |
| Cube | 87765160384 |
| Square root | 66.663333 (= 2√1111) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.444 × |
4444 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and forty-four |
| Binary (base 2) | 1000101011100 |
| Octal (base 8) | 10534 |
| Hexadecimal (base 16) | 115C |
| Base 3 | 20002121 |
| As time | 4444 seconds = 1 h 14 min 4 s |
Is 4444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4444 ÷ 2 = 2222) | 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 | Yes (4444 ÷ 4 = 1111) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (4444 ÷ 11 = 404) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4444 a prime number?
No. 4444 = × 11 × 101, so it is divisible by 2.
What are the factors of 4444?
1, 2, 4, 11, 22, 44, 101, 202, 404, 1111, 2222, 4444.
What is 4444 in binary?
1000101011100 (hexadecimal 115C, octal 10534).
What is the square root of 4444?
About 66.6633, exactly 2√1111.
Is 4444 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4444?
4444 is a palindrome: it reads 4444 backwards too.