The number 75748
75748 is a composite number with 12 divisors. Its prime factorisation is × 29 × 653. Divisors (12): 1, 2, 4, 29, 58, 116, 653, 1306, 2612, 18937, 37874, 75748.
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How to work it out
- 1
What is special about 75748: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
75748 is composite. Its prime factorisation is
- 3
The divisors add up to 137340; without 75748 itself that is 61592, so 75748 is deficient (61592 is less than 75748). Euler's totient φ(75748) = 36512 numbers up to 75748 share no factor with it.
- 4
The digits of 75748 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75748 = 2^{2} \times 29 \times 653 \]75748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 137340 |
| Euler totient φ(n) | 36512 |
| Square | 5737759504 |
| Cube | 434623806908992 |
| Square root | 275.223546 (= 2√18937) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.5748 × |
75748 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand seven hundred and forty-eight |
| Binary (base 2) | 10010011111100100 |
| Octal (base 8) | 223744 |
| Hexadecimal (base 16) | 127E4 |
| Base 3 | 10211220111 |
| As time | 75748 seconds = 21 h 2 min 28 s |
Is 75748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75748 ÷ 2 = 37874) | 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 (75748 ÷ 4 = 18937) | 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 1) | 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 | No (remainder 4) | 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 2) | 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 75748 a prime number?
No. 75748 = × 29 × 653, so it is divisible by 2.
What are the factors of 75748?
1, 2, 4, 29, 58, 116, 653, 1306, 2612, 18937, 37874, 75748.
What is 75748 in binary?
10010011111100100 (hexadecimal 127E4, octal 223744).
What is the square root of 75748?
About 275.2235, exactly 2√18937.
Is 75748 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 75748?
75748 is a happy number: repeatedly adding the squares of its digits reaches 1.