The number 28441
28441 is a triangular number: 1 + 2 + … + 238 = 28441. Its prime factorisation is 7 × 17 × 239. Divisors (8): 1, 7, 17, 119, 239, 1673, 4063, 28441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 28441: a triangular number: 1 + 2 + … + 238 = 28441.
- 2
28441 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 28441 itself that is 6119, so 28441 is deficient (6119 is less than 28441). Euler's totient φ(28441) = 22848 numbers up to 28441 share no factor with it.
- 4
The digits of 28441 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 196 steps to reach 1.
LaTeX source of the formulas on this page
\[ 28441 = 7 \times 17 \times 239 \]
28441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 22848 |
| Square | 808890481 |
| Cube | 23005654170121 |
| Square root | 168.644597 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 196 |
| Scientific notation | 2.8441 × |
28441 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand four hundred and forty-one |
| Binary (base 2) | 110111100011001 |
| Octal (base 8) | 67431 |
| Hexadecimal (base 16) | 6F19 |
| Base 3 | 1110000101 |
| As time | 28441 seconds = 7 h 54 min 1 s |
Is 28441 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (28441 ÷ 7 = 4063) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 28441 a prime number?
No. 28441 = 7 × 17 × 239, so it is divisible by 7.
What are the factors of 28441?
1, 7, 17, 119, 239, 1673, 4063, 28441.
What is 28441 in binary?
110111100011001 (hexadecimal 6F19, octal 67431).
What is the square root of 28441?
About 168.6446.
Is 28441 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 28441?
28441 is a triangular number: 1 + 2 + … + 238 = 28441.