The number 4440
4440 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 37. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60 … 4440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4440: a Harshad number: divisible by its digit sum 12.
- 2
4440 is composite. Its prime factorisation is
- 3
The divisors add up to 13680; without 4440 itself that is 9240, so 4440 is abundant (9240 is more than 4440). Euler's totient φ(4440) = 1152 numbers up to 4440 share no factor with it.
- 4
The digits of 4440 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4440 = 2^{3} \times 3 \times 5 \times 37 \]4440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 13680 |
| Euler totient φ(n) | 1152 |
| Square | 19713600 |
| Cube | 87528384000 |
| Square root | 66.633325 (= 2√1110) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.44 × |
4440 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and forty |
| Binary (base 2) | 1000101011000 |
| Octal (base 8) | 10530 |
| Hexadecimal (base 16) | 1158 |
| Base 3 | 20002110 |
| As time | 4440 seconds = 1 h 14 min 0 s |
Is 4440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4440 ÷ 2 = 2220) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4440 ÷ 3 = 1480) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4440 ÷ 4 = 1110) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (4440 ÷ 5 = 888) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (4440 ÷ 6 = 740) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (4440 ÷ 8 = 555) | 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 | Yes (4440 ÷ 10 = 444) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4440 ÷ 12 = 370) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4440 a prime number?
No. 4440 = × 3 × 5 × 37, so it is divisible by 2.
What are the factors of 4440?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 37, 40, 60, 74, 111, 120, 148, 185, 222, 296, 370, 444, 555, 740, 888, 1110, 1480, 2220, 4440.
What is 4440 in binary?
1000101011000 (hexadecimal 1158, octal 10530).
What is the square root of 4440?
About 66.6333, exactly 2√1110.
Is 4440 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 4440?
4440 is a Harshad number: divisible by its digit sum 12.