The number 77248
77248 is a composite number with 28 divisors. Its prime factorisation is × 17 × 71. Divisors (28): 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 71, 136, 142, 272, 284, 544 … 77248.
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How to work it out
- 1
77248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77248 is composite. Its prime factorisation is
- 3
The divisors add up to 164592; without 77248 itself that is 87344, so 77248 is abundant (87344 is more than 77248). Euler's totient φ(77248) = 35840 numbers up to 77248 share no factor with it.
- 4
The digits of 77248 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77248 = 2^{6} \times 17 \times 71 \]77248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 164592 |
| Euler totient φ(n) | 35840 |
| Square | 5967253504 |
| Cube | 460958398676992 |
| Square root | 277.935244 (= 8√1207) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7248 × |
77248 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and forty-eight |
| Binary (base 2) | 10010110111000000 |
| Octal (base 8) | 226700 |
| Hexadecimal (base 16) | 12DC0 |
| Base 3 | 10220222001 |
| As time | 77248 seconds = 21 h 27 min 28 s |
Is 77248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77248 ÷ 2 = 38624) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77248 ÷ 4 = 19312) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (77248 ÷ 8 = 9656) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77248 a prime number?
No. 77248 = × 17 × 71, so it is divisible by 2.
What are the factors of 77248?
1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 71, 136, 142, 272, 284, 544, 568, 1088, 1136, 1207, 2272, 2414, 4544, 4828, 9656, 19312, 38624, 77248.
What is 77248 in binary?
10010110111000000 (hexadecimal 12DC0, octal 226700).
What is the square root of 77248?
About 277.9352, exactly 8√1207.
Is 77248 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 77248?
It is a composite number with 28 divisors.