The number 2979
2979 is a composite number with 6 divisors. Its prime factorisation is × 331. Divisors (6): 1, 3, 9, 331, 993, 2979.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2979 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2979 is composite. Its prime factorisation is
- 3
The divisors add up to 4316; without 2979 itself that is 1337, so 2979 is deficient (1337 is less than 2979). Euler's totient φ(2979) = 1980 numbers up to 2979 share no factor with it.
- 4
The digits of 2979 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2979 = 3^{2} \times 331 \]2979 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4316 |
| Euler totient φ(n) | 1980 |
| Square | 8874441 |
| Cube | 26436959739 |
| Square root | 54.580216 (= 3√331) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.979 × |
2979 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and seventy-nine |
| Roman numerals | MMCMLXXIX |
| Binary (base 2) | 101110100011 |
| Octal (base 8) | 5643 |
| Hexadecimal (base 16) | BA3 |
| Base 3 | 11002100 |
| As time | 2979 seconds = 49 min 39 s |
Is 2979 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 | Yes (2979 ÷ 3 = 993) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2979 ÷ 9 = 331) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2979 a prime number?
No. 2979 = × 331, so it is divisible by 3.
What are the factors of 2979?
1, 3, 9, 331, 993, 2979.
What is 2979 in binary?
101110100011 (hexadecimal BA3, octal 5643).
What is the square root of 2979?
About 54.5802, exactly 3√331.
What is 2979 in Roman numerals?
MMCMLXXIX.
Is 2979 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 2979?
It is a composite number with 6 divisors.