The number 95772
95772 is a composite number with 24 divisors. Its prime factorisation is × 3 × 23 × 347. Divisors (24): 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 347, 694, 1041, 1388 … 95772.
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How to work it out
- 1
What is special about 95772: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
95772 is composite. Its prime factorisation is
- 3
The divisors add up to 233856; without 95772 itself that is 138084, so 95772 is abundant (138084 is more than 95772). Euler's totient φ(95772) = 30448 numbers up to 95772 share no factor with it.
- 4
The digits of 95772 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 95772 = 2^{2} \times 3 \times 23 \times 347 \]95772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 233856 |
| Euler totient φ(n) | 30448 |
| Square | 9172275984 |
| Cube | 878447215539648 |
| Square root | 309.470516 (= 2√23943) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 53 |
| Scientific notation | 9.5772 × |
95772 in other forms
| Form | Value |
|---|---|
| In words | ninety-five thousand seven hundred and seventy-two |
| Binary (base 2) | 10111011000011100 |
| Octal (base 8) | 273034 |
| Hexadecimal (base 16) | 1761C |
| Base 3 | 11212101010 |
| As time | 95772 seconds = 26 h 36 min 12 s |
Is 95772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (95772 ÷ 2 = 47886) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (95772 ÷ 3 = 31924) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (95772 ÷ 4 = 23943) | 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 | Yes (95772 ÷ 6 = 15962) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (95772 ÷ 12 = 7981) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 95772 a prime number?
No. 95772 = × 3 × 23 × 347, so it is divisible by 2.
What are the factors of 95772?
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 347, 694, 1041, 1388, 2082, 4164, 7981, 15962, 23943, 31924, 47886, 95772.
What is 95772 in binary?
10111011000011100 (hexadecimal 1761C, octal 273034).
What is the square root of 95772?
About 309.4705, exactly 2√23943.
Is 95772 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 95772?
95772 is a happy number: repeatedly adding the squares of its digits reaches 1.