The number 2940
2940 is a composite number with 36 divisors. Its prime factorisation is × 3 × 5 × . Divisors (36): 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35 … 2940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2940: a Harshad number: divisible by its digit sum 15.
- 2
2940 is composite. Its prime factorisation is
- 3
The divisors add up to 9576; without 2940 itself that is 6636, so 2940 is abundant (6636 is more than 2940). Euler's totient φ(2940) = 672 numbers up to 2940 share no factor with it.
- 4
The digits of 2940 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2940 = 2^{2} \times 3 \times 5 \times 7^{2} \]2940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 9576 |
| Euler totient φ(n) | 672 |
| Square | 8643600 |
| Cube | 25412184000 |
| Square root | 54.221767 (= 14√15) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 48 |
| Scientific notation | 2.94 × |
2940 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and forty |
| Roman numerals | MMCMXL |
| Binary (base 2) | 101101111100 |
| Octal (base 8) | 5574 |
| Hexadecimal (base 16) | B7C |
| Base 3 | 11000220 |
| As time | 2940 seconds = 49 min 0 s |
Is 2940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2940 ÷ 2 = 1470) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2940 ÷ 3 = 980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2940 ÷ 4 = 735) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2940 ÷ 5 = 588) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2940 ÷ 6 = 490) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2940 ÷ 7 = 420) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2940 ÷ 10 = 294) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2940 ÷ 12 = 245) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2940 a prime number?
No. 2940 = × 3 × 5 × , so it is divisible by 2.
What are the factors of 2940?
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 49, 60, 70, 84, 98, 105, 140, 147, 196, 210, 245, 294, 420, 490, 588, 735, 980, 1470, 2940.
What is 2940 in binary?
101101111100 (hexadecimal B7C, octal 5574).
What is the square root of 2940?
About 54.2218, exactly 14√15.
What is 2940 in Roman numerals?
MMCMXL.
Is 2940 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2940?
2940 is a Harshad number: divisible by its digit sum 15.