The number 4144
4144 is a composite number with 20 divisors. Its prime factorisation is × 7 × 37. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518 … 4144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4144: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
4144 is composite. Its prime factorisation is
- 3
The divisors add up to 9424; without 4144 itself that is 5280, so 4144 is abundant (5280 is more than 4144). Euler's totient φ(4144) = 1728 numbers up to 4144 share no factor with it.
- 4
The digits of 4144 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 126 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4144 = 2^{4} \times 7 \times 37 \]4144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 9424 |
| Euler totient φ(n) | 1728 |
| Square | 17172736 |
| Cube | 71163817984 |
| Square root | 64.373908 (= 4√259) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.144 × |
4144 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and forty-four |
| Binary (base 2) | 1000000110000 |
| Octal (base 8) | 10060 |
| Hexadecimal (base 16) | 1030 |
| Base 3 | 12200111 |
| As time | 4144 seconds = 1 h 9 min 4 s |
Is 4144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4144 ÷ 2 = 2072) | 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 (4144 ÷ 4 = 1036) | 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 | Yes (4144 ÷ 7 = 592) | 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 (4144 ÷ 8 = 518) | 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 4) | 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 4144 a prime number?
No. 4144 = × 7 × 37, so it is divisible by 2.
What are the factors of 4144?
1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144.
What is 4144 in binary?
1000000110000 (hexadecimal 1030, octal 10060).
What is the square root of 4144?
About 64.3739, exactly 4√259.
Is 4144 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4144?
4144 is a happy number: repeatedly adding the squares of its digits reaches 1.