The number 2478
2478 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 59. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2478: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
2478 is composite. Its prime factorisation is
- 3
The divisors add up to 5760; without 2478 itself that is 3282, so 2478 is abundant (3282 is more than 2478). Euler's totient φ(2478) = 696 numbers up to 2478 share no factor with it.
- 4
The digits of 2478 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2478 = 2 \times 3 \times 7 \times 59 \]
2478 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5760 |
| Euler totient φ(n) | 696 |
| Square | 6140484 |
| Cube | 15216119352 |
| Square root | 49.779514 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 133 |
| Scientific notation | 2.478 × |
2478 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and seventy-eight |
| Roman numerals | MMCDLXXVIII |
| Binary (base 2) | 100110101110 |
| Octal (base 8) | 4656 |
| Hexadecimal (base 16) | 9AE |
| Base 3 | 10101210 |
| As time | 2478 seconds = 41 min 18 s |
Is 2478 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2478 ÷ 2 = 1239) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2478 ÷ 3 = 826) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2478 ÷ 6 = 413) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (2478 ÷ 7 = 354) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2478 a prime number?
No. 2478 = 2 × 3 × 7 × 59, so it is divisible by 2.
What are the factors of 2478?
1, 2, 3, 6, 7, 14, 21, 42, 59, 118, 177, 354, 413, 826, 1239, 2478.
What is 2478 in binary?
100110101110 (hexadecimal 9AE, octal 4656).
What is the square root of 2478?
About 49.7795.
What is 2478 in Roman numerals?
MMCDLXXVIII.
Is 2478 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 2478?
2478 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.