The number 24948
24948 is a composite number with 60 divisors. Its prime factorisation is × × 7 × 11. Divisors (60): 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33 … 24948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24948: a Harshad number: divisible by its digit sum 27.
- 2
24948 is composite. Its prime factorisation is
- 3
The divisors add up to 81312; without 24948 itself that is 56364, so 24948 is abundant (56364 is more than 24948). Euler's totient φ(24948) = 6480 numbers up to 24948 share no factor with it.
- 4
The digits of 24948 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24948 = 2^{2} \times 3^{4} \times 7 \times 11 \]24948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 81312 |
| Euler totient φ(n) | 6480 |
| Square | 622402704 |
| Cube | 15527702659392 |
| Square root | 157.949359 (= 18√77) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4948 × |
24948 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and forty-eight |
| Binary (base 2) | 110000101110100 |
| Octal (base 8) | 60564 |
| Hexadecimal (base 16) | 6174 |
| Base 3 | 1021020000 |
| As time | 24948 seconds = 6 h 55 min 48 s |
Is 24948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24948 ÷ 2 = 12474) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24948 ÷ 3 = 8316) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24948 ÷ 4 = 6237) | 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 (24948 ÷ 6 = 4158) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24948 ÷ 7 = 3564) | 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 (24948 ÷ 9 = 2772) | 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 | Yes (24948 ÷ 11 = 2268) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24948 ÷ 12 = 2079) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24948 a prime number?
No. 24948 = × × 7 × 11, so it is divisible by 2.
What are the factors of 24948?
1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 81, 84, 99, 108, 126, 132, 154, 162, 189, 198, 231, 252, 297, 308, 324, 378, 396, 462, 567, 594, 693, 756, 891, 924, 1134, 1188, 1386, 1782, 2079, 2268, 2772, 3564, 4158, 6237, 8316, 12474, 24948.
What is 24948 in binary?
110000101110100 (hexadecimal 6174, octal 60564).
What is the square root of 24948?
About 157.9494, exactly 18√77.
Is 24948 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 24948?
24948 is a Harshad number: divisible by its digit sum 27.