The number 67242
67242 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1601. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1601, 3202, 4803, 9606, 11207, 22414, 33621, 67242.
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How to work it out
- 1
What is special about 67242: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
67242 is composite. Its prime factorisation is
- 3
The divisors add up to 153792; without 67242 itself that is 86550, so 67242 is abundant (86550 is more than 67242). Euler's totient φ(67242) = 19200 numbers up to 67242 share no factor with it.
- 4
The digits of 67242 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67242 = 2 \times 3 \times 7 \times 1601 \]
67242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 153792 |
| Euler totient φ(n) | 19200 |
| Square | 4521486564 |
| Cube | 304033799536488 |
| Square root | 259.310625 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 37 |
| Scientific notation | 6.7242 × |
67242 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and forty-two |
| Binary (base 2) | 10000011010101010 |
| Octal (base 8) | 203252 |
| Hexadecimal (base 16) | 106AA |
| Base 3 | 10102020110 |
| As time | 67242 seconds = 18 h 40 min 42 s |
Is 67242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67242 ÷ 2 = 33621) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67242 ÷ 3 = 22414) | 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 (67242 ÷ 6 = 11207) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67242 ÷ 7 = 9606) | 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 10) | 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 67242 a prime number?
No. 67242 = 2 × 3 × 7 × 1601, so it is divisible by 2.
What are the factors of 67242?
1, 2, 3, 6, 7, 14, 21, 42, 1601, 3202, 4803, 9606, 11207, 22414, 33621, 67242.
What is 67242 in binary?
10000011010101010 (hexadecimal 106AA, octal 203252).
What is the square root of 67242?
About 259.3106.
Is 67242 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 67242?
67242 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.