The number 75740
75740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 541. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 541, 1082, 2164, 2705 … 75740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75740: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
75740 is composite. Its prime factorisation is
- 3
The divisors add up to 182112; without 75740 itself that is 106372, so 75740 is abundant (106372 is more than 75740). Euler's totient φ(75740) = 25920 numbers up to 75740 share no factor with it.
- 4
The digits of 75740 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75740 = 2^{2} \times 5 \times 7 \times 541 \]75740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 182112 |
| Euler totient φ(n) | 25920 |
| Square | 5736547600 |
| Cube | 434486115224000 |
| Square root | 275.209011 (= 2√18935) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.574 × |
75740 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand seven hundred and forty |
| Binary (base 2) | 10010011111011100 |
| Octal (base 8) | 223734 |
| Hexadecimal (base 16) | 127DC |
| Base 3 | 10211220012 |
| As time | 75740 seconds = 21 h 2 min 20 s |
Is 75740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75740 ÷ 2 = 37870) | 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 (75740 ÷ 4 = 18935) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (75740 ÷ 5 = 15148) | 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 (75740 ÷ 7 = 10820) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (75740 ÷ 10 = 7574) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 75740 a prime number?
No. 75740 = × 5 × 7 × 541, so it is divisible by 2.
What are the factors of 75740?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 541, 1082, 2164, 2705, 3787, 5410, 7574, 10820, 15148, 18935, 37870, 75740.
What is 75740 in binary?
10010011111011100 (hexadecimal 127DC, octal 223734).
What is the square root of 75740?
About 275.2090, exactly 2√18935.
Is 75740 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 75740?
75740 is a happy number: repeatedly adding the squares of its digits reaches 1.