The number 2472
2472 is a composite number with 16 divisors. Its prime factorisation is × 3 × 103. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 103, 206, 309, 412, 618, 824, 1236, 2472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2472 is composite. Its prime factorisation is
- 3
The divisors add up to 6240; without 2472 itself that is 3768, so 2472 is abundant (3768 is more than 2472). Euler's totient φ(2472) = 816 numbers up to 2472 share no factor with it.
- 4
The digits of 2472 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 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2472 = 2^{3} \times 3 \times 103 \]2472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 6240 |
| Euler totient φ(n) | 816 |
| Square | 6110784 |
| Cube | 15105858048 |
| Square root | 49.719212 (= 2√618) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 27 |
| Scientific notation | 2.472 × |
2472 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and seventy-two |
| Roman numerals | MMCDLXXII |
| Binary (base 2) | 100110101000 |
| Octal (base 8) | 4650 |
| Hexadecimal (base 16) | 9A8 |
| Base 3 | 10101120 |
| As time | 2472 seconds = 41 min 12 s |
Is 2472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2472 ÷ 2 = 1236) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2472 ÷ 3 = 824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2472 ÷ 4 = 618) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2472 ÷ 6 = 412) | 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 (2472 ÷ 8 = 309) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2472 ÷ 12 = 206) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2472 a prime number?
No. 2472 = × 3 × 103, so it is divisible by 2.
What are the factors of 2472?
1, 2, 3, 4, 6, 8, 12, 24, 103, 206, 309, 412, 618, 824, 1236, 2472.
What is 2472 in binary?
100110101000 (hexadecimal 9A8, octal 4650).
What is the square root of 2472?
About 49.7192, exactly 2√618.
What is 2472 in Roman numerals?
MMCDLXXII.
Is 2472 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2472?
It is a composite number with 16 divisors.