The number 61248
61248 is a composite number with 56 divisors. Its prime factorisation is × 3 × 11 × 29. Divisors (56): 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 29, 32, 33, 44, 48 … 61248.
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How to work it out
- 1
61248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61248 is composite. Its prime factorisation is
- 3
The divisors add up to 182880; without 61248 itself that is 121632, so 61248 is abundant (121632 is more than 61248). Euler's totient φ(61248) = 17920 numbers up to 61248 share no factor with it.
- 4
The digits of 61248 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61248 = 2^{6} \times 3 \times 11 \times 29 \]61248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 182880 |
| Euler totient φ(n) | 17920 |
| Square | 3751317504 |
| Cube | 229760694484992 |
| Square root | 247.483333 (= 8√957) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1248 × |
61248 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand two hundred and forty-eight |
| Binary (base 2) | 1110111101000000 |
| Octal (base 8) | 167500 |
| Hexadecimal (base 16) | EF40 |
| Base 3 | 10010000110 |
| As time | 61248 seconds = 17 h 0 min 48 s |
Is 61248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61248 ÷ 2 = 30624) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (61248 ÷ 3 = 20416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61248 ÷ 4 = 15312) | 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 (61248 ÷ 6 = 10208) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (61248 ÷ 8 = 7656) | 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 | Yes (61248 ÷ 11 = 5568) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (61248 ÷ 12 = 5104) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61248 a prime number?
No. 61248 = × 3 × 11 × 29, so it is divisible by 2.
What are the factors of 61248?
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 29, 32, 33, 44, 48, 58, 64, 66, 87, 88, 96, 116, 132, 174, 176, 192, 232, 264, 319, 348, 352, 464, 528, 638, 696, 704, 928, 957, 1056, 1276, 1392, 1856, 1914, 2112, 2552, 2784, 3828, 5104, 5568, 7656, 10208, 15312, 20416, 30624, 61248.
What is 61248 in binary?
1110111101000000 (hexadecimal EF40, octal 167500).
What is the square root of 61248?
About 247.4833, exactly 8√957.
Is 61248 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 61248?
It is a composite number with 56 divisors.