The number 64242
64242 is a composite number with 24 divisors. Its prime factorisation is 2 × × 43 × 83. Divisors (24): 1, 2, 3, 6, 9, 18, 43, 83, 86, 129, 166, 249, 258, 387, 498, 747 … 64242.
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How to work it out
- 1
What is special about 64242: a Harshad number: divisible by its digit sum 18.
- 2
64242 is composite. Its prime factorisation is
- 3
The divisors add up to 144144; without 64242 itself that is 79902, so 64242 is abundant (79902 is more than 64242). Euler's totient φ(64242) = 20664 numbers up to 64242 share no factor with it.
- 4
The digits of 64242 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 254 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64242 = 2 \times 3^{2} \times 43 \times 83 \]64242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 144144 |
| Euler totient φ(n) | 20664 |
| Square | 4127034564 |
| Cube | 265128954460488 |
| Square root | 253.460056 (= 3√7138) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 254 |
| Scientific notation | 6.4242 × |
64242 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand two hundred and forty-two |
| Binary (base 2) | 1111101011110010 |
| Octal (base 8) | 175362 |
| Hexadecimal (base 16) | FAF2 |
| Base 3 | 10021010100 |
| As time | 64242 seconds = 17 h 50 min 42 s |
Is 64242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64242 ÷ 2 = 32121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (64242 ÷ 3 = 21414) | 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 (64242 ÷ 6 = 10707) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (64242 ÷ 9 = 7138) | 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 2) | 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 64242 a prime number?
No. 64242 = 2 × × 43 × 83, so it is divisible by 2.
What are the factors of 64242?
1, 2, 3, 6, 9, 18, 43, 83, 86, 129, 166, 249, 258, 387, 498, 747, 774, 1494, 3569, 7138, 10707, 21414, 32121, 64242.
What is 64242 in binary?
1111101011110010 (hexadecimal FAF2, octal 175362).
What is the square root of 64242?
About 253.4601, exactly 3√7138.
Is 64242 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 64242?
64242 is a Harshad number: divisible by its digit sum 18.