The number 24978
24978 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 181. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 138, 181, 362, 543, 1086, 4163, 8326, 12489, 24978.
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How to work it out
- 1
24978 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24978 is composite. Its prime factorisation is
- 3
The divisors add up to 52416; without 24978 itself that is 27438, so 24978 is abundant (27438 is more than 24978). Euler's totient φ(24978) = 7920 numbers up to 24978 share no factor with it.
- 4
The digits of 24978 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24978 = 2 \times 3 \times 23 \times 181 \]
24978 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 52416 |
| Euler totient φ(n) | 7920 |
| Square | 623900484 |
| Cube | 15583786289352 |
| Square root | 158.044298 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4978 × |
24978 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and seventy-eight |
| Binary (base 2) | 110000110010010 |
| Octal (base 8) | 60622 |
| Hexadecimal (base 16) | 6192 |
| Base 3 | 1021021010 |
| As time | 24978 seconds = 6 h 56 min 18 s |
Is 24978 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24978 ÷ 2 = 12489) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24978 ÷ 3 = 8326) | 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 (24978 ÷ 6 = 4163) | 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 | No (remainder 2) | 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 8) | 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 24978 a prime number?
No. 24978 = 2 × 3 × 23 × 181, so it is divisible by 2.
What are the factors of 24978?
1, 2, 3, 6, 23, 46, 69, 138, 181, 362, 543, 1086, 4163, 8326, 12489, 24978.
What is 24978 in binary?
110000110010010 (hexadecimal 6192, octal 60622).
What is the square root of 24978?
About 158.0443.
Is 24978 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 24978?
It is a composite number with 16 divisors.