The number 95742
95742 is a composite number with 24 divisors. Its prime factorisation is 2 × × 197. Divisors (24): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 197, 243, 394, 486, 591, 1182 … 95742.
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How to work it out
- 1
What is special about 95742: a Harshad number: divisible by its digit sum 27.
- 2
95742 is composite. Its prime factorisation is
- 3
The divisors add up to 216216; without 95742 itself that is 120474, so 95742 is abundant (120474 is more than 95742). Euler's totient φ(95742) = 31752 numbers up to 95742 share no factor with it.
- 4
The digits of 95742 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 95742 = 2 \times 3^{5} \times 197 \]95742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 216216 |
| Euler totient φ(n) | 31752 |
| Square | 9166530564 |
| Cube | 877621969258488 |
| Square root | 309.422042 (= 9√1182) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.5742 × |
95742 in other forms
| Form | Value |
|---|---|
| In words | ninety-five thousand seven hundred and forty-two |
| Binary (base 2) | 10111010111111110 |
| Octal (base 8) | 272776 |
| Hexadecimal (base 16) | 175FE |
| Base 3 | 11212100000 |
| As time | 95742 seconds = 26 h 35 min 42 s |
Is 95742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (95742 ÷ 2 = 47871) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (95742 ÷ 3 = 31914) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (95742 ÷ 6 = 15957) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (95742 ÷ 9 = 10638) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 95742 a prime number?
No. 95742 = 2 × × 197, so it is divisible by 2.
What are the factors of 95742?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 197, 243, 394, 486, 591, 1182, 1773, 3546, 5319, 10638, 15957, 31914, 47871, 95742.
What is 95742 in binary?
10111010111111110 (hexadecimal 175FE, octal 272776).
What is the square root of 95742?
About 309.4220, exactly 9√1182.
Is 95742 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 95742?
95742 is a Harshad number: divisible by its digit sum 27.