The number 2980
2980 is a composite number with 12 divisors. Its prime factorisation is × 5 × 149. Divisors (12): 1, 2, 4, 5, 10, 20, 149, 298, 596, 745, 1490, 2980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2980 is composite. Its prime factorisation is
- 3
The divisors add up to 6300; without 2980 itself that is 3320, so 2980 is abundant (3320 is more than 2980). Euler's totient φ(2980) = 1184 numbers up to 2980 share no factor with it.
- 4
The digits of 2980 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 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2980 = 2^{2} \times 5 \times 149 \]2980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 6300 |
| Euler totient φ(n) | 1184 |
| Square | 8880400 |
| Cube | 26463592000 |
| Square root | 54.589376 (= 2√745) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 92 |
| Scientific notation | 2.98 × |
2980 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and eighty |
| Roman numerals | MMCMLXXX |
| Binary (base 2) | 101110100100 |
| Octal (base 8) | 5644 |
| Hexadecimal (base 16) | BA4 |
| Base 3 | 11002101 |
| As time | 2980 seconds = 49 min 40 s |
Is 2980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2980 ÷ 2 = 1490) | 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 | Yes (2980 ÷ 4 = 745) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2980 ÷ 5 = 596) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 | Yes (2980 ÷ 10 = 298) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2980 a prime number?
No. 2980 = × 5 × 149, so it is divisible by 2.
What are the factors of 2980?
1, 2, 4, 5, 10, 20, 149, 298, 596, 745, 1490, 2980.
What is 2980 in binary?
101110100100 (hexadecimal BA4, octal 5644).
What is the square root of 2980?
About 54.5894, exactly 2√745.
What is 2980 in Roman numerals?
MMCMLXXX.
Is 2980 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 2980?
It is a composite number with 12 divisors.