The number 2920
2920 is a composite number with 16 divisors. Its prime factorisation is × 5 × 73. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460, 2920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2920 is composite. Its prime factorisation is
- 3
The divisors add up to 6660; without 2920 itself that is 3740, so 2920 is abundant (3740 is more than 2920). Euler's totient φ(2920) = 1152 numbers up to 2920 share no factor with it.
- 4
The digits of 2920 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2920 = 2^{3} \times 5 \times 73 \]2920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6660 |
| Euler totient φ(n) | 1152 |
| Square | 8526400 |
| Cube | 24897088000 |
| Square root | 54.037024 (= 2√730) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 97 |
| Scientific notation | 2.92 × |
2920 in other forms
| Form | Value |
|---|---|
| In words | two thousand nine hundred and twenty |
| Roman numerals | MMCMXX |
| Binary (base 2) | 101101101000 |
| Octal (base 8) | 5550 |
| Hexadecimal (base 16) | B68 |
| Base 3 | 11000011 |
| As time | 2920 seconds = 48 min 40 s |
Is 2920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2920 ÷ 2 = 1460) | 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 (2920 ÷ 4 = 730) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2920 ÷ 5 = 584) | 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 1) | 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 | Yes (2920 ÷ 8 = 365) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2920 ÷ 10 = 292) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 2920 a prime number?
No. 2920 = × 5 × 73, so it is divisible by 2.
What are the factors of 2920?
1, 2, 4, 5, 8, 10, 20, 40, 73, 146, 292, 365, 584, 730, 1460, 2920.
What is 2920 in binary?
101101101000 (hexadecimal B68, octal 5550).
What is the square root of 2920?
About 54.0370, exactly 2√730.
What is 2920 in Roman numerals?
MMCMXX.
Is 2920 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 2920?
It is a composite number with 16 divisors.