The number 7144
7144 is a composite number with 16 divisors. Its prime factorisation is × 19 × 47. Divisors (16): 1, 2, 4, 8, 19, 38, 47, 76, 94, 152, 188, 376, 893, 1786, 3572, 7144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7144: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7144 is composite. Its prime factorisation is
- 3
The divisors add up to 14400; without 7144 itself that is 7256, so 7144 is abundant (7256 is more than 7144). Euler's totient φ(7144) = 3312 numbers up to 7144 share no factor with it.
- 4
The digits of 7144 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7144 = 2^{3} \times 19 \times 47 \]7144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14400 |
| Euler totient φ(n) | 3312 |
| Square | 51036736 |
| Cube | 364606441984 |
| Square root | 84.522186 (= 2√1786) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 75 |
| Scientific notation | 7.144 × |
7144 in other forms
| Form | Value |
|---|---|
| In words | seven thousand one hundred and forty-four |
| Binary (base 2) | 1101111101000 |
| Octal (base 8) | 15750 |
| Hexadecimal (base 16) | 1BE8 |
| Base 3 | 100210121 |
| As time | 7144 seconds = 1 h 59 min 4 s |
Is 7144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7144 ÷ 2 = 3572) | 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 (7144 ÷ 4 = 1786) | 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 4) | 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 (7144 ÷ 8 = 893) | 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 5) | 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 7144 a prime number?
No. 7144 = × 19 × 47, so it is divisible by 2.
What are the factors of 7144?
1, 2, 4, 8, 19, 38, 47, 76, 94, 152, 188, 376, 893, 1786, 3572, 7144.
What is 7144 in binary?
1101111101000 (hexadecimal 1BE8, octal 15750).
What is the square root of 7144?
About 84.5222, exactly 2√1786.
Is 7144 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 7144?
7144 is a happy number: repeatedly adding the squares of its digits reaches 1.