The number 3040
3040 is a composite number with 24 divisors. Its prime factorisation is × 5 × 19. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152 … 3040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
3040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
3040 is composite. Its prime factorisation is
- 3
The divisors add up to 7560; without 3040 itself that is 4520, so 3040 is abundant (4520 is more than 3040). Euler's totient φ(3040) = 1152 numbers up to 3040 share no factor with it.
- 4
The digits of 3040 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3040 = 2^{5} \times 5 \times 19 \]3040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 7560 |
| Euler totient φ(n) | 1152 |
| Square | 9241600 |
| Cube | 28094464000 |
| Square root | 55.136195 (= 4√190) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 110 |
| Scientific notation | 3.04 × |
3040 in other forms
| Form | Value |
|---|---|
| In words | three thousand and forty |
| Roman numerals | MMMXL |
| Binary (base 2) | 101111100000 |
| Octal (base 8) | 5740 |
| Hexadecimal (base 16) | BE0 |
| Base 3 | 11011121 |
| As time | 3040 seconds = 50 min 40 s |
Is 3040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3040 ÷ 2 = 1520) | 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 (3040 ÷ 4 = 760) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (3040 ÷ 5 = 608) | 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 2) | 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 (3040 ÷ 8 = 380) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3040 ÷ 10 = 304) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 3040 a prime number?
No. 3040 = × 5 × 19, so it is divisible by 2.
What are the factors of 3040?
1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040.
What is 3040 in binary?
101111100000 (hexadecimal BE0, octal 5740).
What is the square root of 3040?
About 55.1362, exactly 4√190.
What is 3040 in Roman numerals?
MMMXL.
Is 3040 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 3040?
It is a composite number with 24 divisors.