The number 2412
2412 is a composite number with 18 divisors. Its prime factorisation is × × 67. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804 … 2412.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2412: a Harshad number: divisible by its digit sum 9.
- 2
2412 is composite. Its prime factorisation is
- 3
The divisors add up to 6188; without 2412 itself that is 3776, so 2412 is abundant (3776 is more than 2412). Euler's totient φ(2412) = 792 numbers up to 2412 share no factor with it.
- 4
The digits of 2412 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2412 = 2^{2} \times 3^{2} \times 67 \]2412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 6188 |
| Euler totient φ(n) | 792 |
| Square | 5817744 |
| Cube | 14032398528 |
| Square root | 49.112117 (= 6√67) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 2.412 × |
2412 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and twelve |
| Roman numerals | MMCDXII |
| Binary (base 2) | 100101101100 |
| Octal (base 8) | 4554 |
| Hexadecimal (base 16) | 96C |
| Base 3 | 10022100 |
| As time | 2412 seconds = 40 min 12 s |
Is 2412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2412 ÷ 2 = 1206) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2412 ÷ 3 = 804) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2412 ÷ 4 = 603) | 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 (2412 ÷ 6 = 402) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (2412 ÷ 9 = 268) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2412 ÷ 12 = 201) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2412 a prime number?
No. 2412 = × × 67, so it is divisible by 2.
What are the factors of 2412?
1, 2, 3, 4, 6, 9, 12, 18, 36, 67, 134, 201, 268, 402, 603, 804, 1206, 2412.
What is 2412 in binary?
100101101100 (hexadecimal 96C, octal 4554).
What is the square root of 2412?
About 49.1121, exactly 6√67.
What is 2412 in Roman numerals?
MMCDXII.
Is 2412 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 2412?
2412 is a Harshad number: divisible by its digit sum 9.