The number 14440
14440 is a composite number with 24 divisors. Its prime factorisation is × 5 × . Divisors (24): 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 361, 380 … 14440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 14440: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
14440 is composite. Its prime factorisation is
- 3
The divisors add up to 34290; without 14440 itself that is 19850, so 14440 is abundant (19850 is more than 14440). Euler's totient φ(14440) = 5472 numbers up to 14440 share no factor with it.
- 4
The digits of 14440 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 14440 = 2^{3} \times 5 \times 19^{2} \]14440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 34290 |
| Euler totient φ(n) | 5472 |
| Square | 208513600 |
| Cube | 3010936384000 |
| Square root | 120.166551 (= 38√10) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.444 × |
14440 in other forms
| Form | Value |
|---|---|
| In words | fourteen thousand four hundred and forty |
| Binary (base 2) | 11100001101000 |
| Octal (base 8) | 34150 |
| Hexadecimal (base 16) | 3868 |
| Base 3 | 201210211 |
| As time | 14440 seconds = 4 h 0 min 40 s |
Is 14440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (14440 ÷ 2 = 7220) | 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 (14440 ÷ 4 = 3610) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (14440 ÷ 5 = 2888) | 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 | Yes (14440 ÷ 8 = 1805) | 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 | Yes (14440 ÷ 10 = 1444) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 14440 a prime number?
No. 14440 = × 5 × , so it is divisible by 2.
What are the factors of 14440?
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 361, 380, 722, 760, 1444, 1805, 2888, 3610, 7220, 14440.
What is 14440 in binary?
11100001101000 (hexadecimal 3868, octal 34150).
What is the square root of 14440?
About 120.1666, exactly 38√10.
Is 14440 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 14440?
14440 is a happy number: repeatedly adding the squares of its digits reaches 1.