The number 75772
75772 is a composite number with 12 divisors. Its prime factorisation is × 19 × 997. Divisors (12): 1, 2, 4, 19, 38, 76, 997, 1994, 3988, 18943, 37886, 75772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75772: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
75772 is composite. Its prime factorisation is
- 3
The divisors add up to 139720; without 75772 itself that is 63948, so 75772 is deficient (63948 is less than 75772). Euler's totient φ(75772) = 35856 numbers up to 75772 share no factor with it.
- 4
The digits of 75772 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 231 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75772 = 2^{2} \times 19 \times 997 \]75772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 139720 |
| Euler totient φ(n) | 35856 |
| Square | 5741395984 |
| Cube | 435037056499648 |
| Square root | 275.267143 (= 2√18943) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 231 |
| Scientific notation | 7.5772 × |
75772 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand seven hundred and seventy-two |
| Binary (base 2) | 10010011111111100 |
| Octal (base 8) | 223774 |
| Hexadecimal (base 16) | 127FC |
| Base 3 | 10211221101 |
| As time | 75772 seconds = 21 h 2 min 52 s |
Is 75772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75772 ÷ 2 = 37886) | 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 (75772 ÷ 4 = 18943) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 4) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 75772 a prime number?
No. 75772 = × 19 × 997, so it is divisible by 2.
What are the factors of 75772?
1, 2, 4, 19, 38, 76, 997, 1994, 3988, 18943, 37886, 75772.
What is 75772 in binary?
10010011111111100 (hexadecimal 127FC, octal 223774).
What is the square root of 75772?
About 275.2671, exactly 2√18943.
Is 75772 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 75772?
75772 is a happy number: repeatedly adding the squares of its digits reaches 1.