The number 76242
76242 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 97 × 131. Divisors (16): 1, 2, 3, 6, 97, 131, 194, 262, 291, 393, 582, 786, 12707, 25414, 38121, 76242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76242: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76242 is composite. Its prime factorisation is
- 3
The divisors add up to 155232; without 76242 itself that is 78990, so 76242 is abundant (78990 is more than 76242). Euler's totient φ(76242) = 24960 numbers up to 76242 share no factor with it.
- 4
The digits of 76242 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76242 = 2 \times 3 \times 97 \times 131 \]
76242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 155232 |
| Euler totient φ(n) | 24960 |
| Square | 5812842564 |
| Cube | 443182742764488 |
| Square root | 276.119539 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.6242 × |
76242 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand two hundred and forty-two |
| Binary (base 2) | 10010100111010010 |
| Octal (base 8) | 224722 |
| Hexadecimal (base 16) | 129D2 |
| Base 3 | 10212120210 |
| As time | 76242 seconds = 21 h 10 min 42 s |
Is 76242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76242 ÷ 2 = 38121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76242 ÷ 3 = 25414) | 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 (76242 ÷ 6 = 12707) | 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 2) | 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 1) | 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 76242 a prime number?
No. 76242 = 2 × 3 × 97 × 131, so it is divisible by 2.
What are the factors of 76242?
1, 2, 3, 6, 97, 131, 194, 262, 291, 393, 582, 786, 12707, 25414, 38121, 76242.
What is 76242 in binary?
10010100111010010 (hexadecimal 129D2, octal 224722).
What is the square root of 76242?
About 276.1195.
Is 76242 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 76242?
76242 is a happy number: repeatedly adding the squares of its digits reaches 1.