The number 4489
4489 is a perfect square (67²). Its prime factorisation is . Divisors (3): 1, 67, 4489.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4489: a perfect square (67²); the square of a prime (67²).
- 2
4489 is composite. Its prime factorisation is
- 3
The divisors add up to 4557; without 4489 itself that is 68, so 4489 is deficient (68 is less than 4489). Euler's totient φ(4489) = 4422 numbers up to 4489 share no factor with it.
- 4
The digits of 4489 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4489 = 67^{2} \]4489 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 3 |
| Sum of divisors | 4557 |
| Euler totient φ(n) | 4422 |
| Square | 20151121 |
| Cube | 90458382169 |
| Square root | 67 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 4.489 × |
| Perfect power |
4489 in other forms
| Form | Value |
|---|---|
| In words | four thousand four hundred and eighty-nine |
| Binary (base 2) | 1000110001001 |
| Octal (base 8) | 10611 |
| Hexadecimal (base 16) | 1189 |
| Base 3 | 20011021 |
| As time | 4489 seconds = 1 h 14 min 49 s |
Is 4489 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 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 | No (remainder 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 4489 a prime number?
No. 4489 = , so it is divisible by 67.
What are the factors of 4489?
1, 67, 4489.
What is 4489 in binary?
1000110001001 (hexadecimal 1189, octal 10611).
What is the square root of 4489?
67, because 67 × 67 = 4489.
Is 4489 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 4489?
4489 is a perfect square (67²); the square of a prime (67²).