The number 16144
16144 is a composite number with 10 divisors. Its prime factorisation is × 1009. Divisors (10): 1, 2, 4, 8, 16, 1009, 2018, 4036, 8072, 16144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16144: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
16144 is composite. Its prime factorisation is
- 3
The divisors add up to 31310; without 16144 itself that is 15166, so 16144 is deficient (15166 is less than 16144). Euler's totient φ(16144) = 8064 numbers up to 16144 share no factor with it.
- 4
The digits of 16144 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16144 = 2^{4} \times 1009 \]16144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 31310 |
| Euler totient φ(n) | 8064 |
| Square | 260628736 |
| Cube | 4207590313984 |
| Square root | 127.059041 (= 4√1009) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6144 × |
16144 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and forty-four |
| Binary (base 2) | 11111100010000 |
| Octal (base 8) | 37420 |
| Hexadecimal (base 16) | 3F10 |
| Base 3 | 211010221 |
| As time | 16144 seconds = 4 h 29 min 4 s |
Is 16144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16144 ÷ 2 = 8072) | 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 (16144 ÷ 4 = 4036) | 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 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 (16144 ÷ 8 = 2018) | 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 | No (remainder 7) | 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 16144 a prime number?
No. 16144 = × 1009, so it is divisible by 2.
What are the factors of 16144?
1, 2, 4, 8, 16, 1009, 2018, 4036, 8072, 16144.
What is 16144 in binary?
11111100010000 (hexadecimal 3F10, octal 37420).
What is the square root of 16144?
About 127.0590, exactly 4√1009.
Is 16144 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16144?
16144 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.