The number 2470
2470 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 19. Divisors (16): 1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2470: a Harshad number: divisible by its digit sum 13.
- 2
2470 is composite. Its prime factorisation is
- 3
The divisors add up to 5040; without 2470 itself that is 2570, so 2470 is abundant (2570 is more than 2470). Euler's totient φ(2470) = 864 numbers up to 2470 share no factor with it.
- 4
The digits of 2470 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2470 = 2 \times 5 \times 13 \times 19 \]
2470 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5040 |
| Euler totient φ(n) | 864 |
| Square | 6100900 |
| Cube | 15069223000 |
| Square root | 49.699095 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 133 |
| Scientific notation | 2.47 × |
2470 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and seventy |
| Roman numerals | MMCDLXX |
| Binary (base 2) | 100110100110 |
| Octal (base 8) | 4646 |
| Hexadecimal (base 16) | 9A6 |
| Base 3 | 10101111 |
| As time | 2470 seconds = 41 min 10 s |
Is 2470 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2470 ÷ 2 = 1235) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2470 ÷ 5 = 494) | 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 6) | 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 6) | 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 (2470 ÷ 10 = 247) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2470 a prime number?
No. 2470 = 2 × 5 × 13 × 19, so it is divisible by 2.
What are the factors of 2470?
1, 2, 5, 10, 13, 19, 26, 38, 65, 95, 130, 190, 247, 494, 1235, 2470.
What is 2470 in binary?
100110100110 (hexadecimal 9A6, octal 4646).
What is the square root of 2470?
About 49.6991.
What is 2470 in Roman numerals?
MMCDLXX.
Is 2470 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 2470?
2470 is a Harshad number: divisible by its digit sum 13.