The number 2989
2989 is a composite number with 6 divisors. Its prime factorisation is Ć 61. Divisors (6): 1, 7, 49, 61, 427, 2989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2989: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2989 is composite. Its prime factorisation is
- 3
The divisors add up to 3534; without 2989 itself that is 545, so 2989 is deficient (545 is less than 2989). Euler's totient Ļ(2989) = 2520 numbers up to 2989 share no factor with it.
- 4
The digits of 2989 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2989 = 7^{2} \times 61 \]2989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 3534 |
| Euler totient Ļ(n) | 2520 |
| Square | 8934121 |
| Cube | 26704087669 |
| Square root | 54.671748 (= 7ā61) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.989 Ć |
2989 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and eighty-nine |
| Roman numerals | MMCMLXXXIX |
| Binary (base 2) | 101110101101 |
| Octal (base 8) | 5655 |
| Hexadecimal (base 16) | BAD |
| Base 3 | 11002201 |
| As time | 2989 seconds = 49 min 49 s |
Is 2989 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 | Yes (2989 Ć· 7 = 427) | 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 1) | 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 8) | 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 2989 a prime number?
No. 2989 = Ć 61, so it is divisible by 7.
What are the factors of 2989?
1, 7, 49, 61, 427, 2989.
What is 2989 in binary?
101110101101 (hexadecimal BAD, octal 5655).
What is the square root of 2989?
About 54.6717, exactly 7ā61.
What is 2989 in Roman numerals?
MMCMLXXXIX.
Is 2989 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 2989?
2989 is a happy number: repeatedly adding the squares of its digits reaches 1.