The number 75488
75488 is a composite number with 24 divisors. Its prime factorisation is × 7 × 337. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 337, 674, 1348, 2359 … 75488.
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How to work it out
- 1
What is special about 75488: a Harshad number: divisible by its digit sum 32.
- 2
75488 is composite. Its prime factorisation is
- 3
The divisors add up to 170352; without 75488 itself that is 94864, so 75488 is abundant (94864 is more than 75488). Euler's totient φ(75488) = 32256 numbers up to 75488 share no factor with it.
- 4
The digits of 75488 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75488 = 2^{5} \times 7 \times 337 \]75488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 170352 |
| Euler totient φ(n) | 32256 |
| Square | 5698438144 |
| Cube | 430163698614272 |
| Square root | 274.750796 (= 4√4718) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.5488 × |
75488 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand four hundred and eighty-eight |
| Binary (base 2) | 10010011011100000 |
| Octal (base 8) | 223340 |
| Hexadecimal (base 16) | 126E0 |
| Base 3 | 10211112212 |
| As time | 75488 seconds = 20 h 58 min 8 s |
Is 75488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75488 ÷ 2 = 37744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (75488 ÷ 4 = 18872) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (75488 ÷ 7 = 10784) | 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 (75488 ÷ 8 = 9436) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75488 a prime number?
No. 75488 = × 7 × 337, so it is divisible by 2.
What are the factors of 75488?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 337, 674, 1348, 2359, 2696, 4718, 5392, 9436, 10784, 18872, 37744, 75488.
What is 75488 in binary?
10010011011100000 (hexadecimal 126E0, octal 223340).
What is the square root of 75488?
About 274.7508, exactly 4√4718.
Is 75488 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 75488?
75488 is a Harshad number: divisible by its digit sum 32.