The number 4189
4189 is a composite number with 4 divisors. Its prime factorisation is 59 × 71. Divisors (4): 1, 59, 71, 4189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4189: a semiprime: 59 × 71, the product of two primes.
- 2
4189 is composite. Its prime factorisation is
- 3
The divisors add up to 4320; without 4189 itself that is 131, so 4189 is deficient (131 is less than 4189). Euler's totient φ(4189) = 4060 numbers up to 4189 share no factor with it.
- 4
The digits of 4189 add up to 22, 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
\[ 4189 = 59 \times 71 \]
4189 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 4320 |
| Euler totient φ(n) | 4060 |
| Square | 17547721 |
| Cube | 73507403269 |
| Square root | 64.722485 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 126 |
| Scientific notation | 4.189 × |
4189 in other forms
| Form | Value |
|---|---|
| In words | four thousand one hundred and eighty-nine |
| Binary (base 2) | 1000001011101 |
| Octal (base 8) | 10135 |
| Hexadecimal (base 16) | 105D |
| Base 3 | 12202011 |
| As time | 4189 seconds = 1 h 9 min 49 s |
Is 4189 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 4) | 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 | No (remainder 3) | 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 4189 a prime number?
No. 4189 = 59 × 71, so it is divisible by 59.
What are the factors of 4189?
1, 59, 71, 4189.
What is 4189 in binary?
1000001011101 (hexadecimal 105D, octal 10135).
What is the square root of 4189?
About 64.7225.
Is 4189 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 4189?
4189 is a semiprime: 59 × 71, the product of two primes.