The number 54642
54642 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1301. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1301, 2602, 3903, 7806, 9107, 18214, 27321, 54642.
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How to work it out
- 1
What is special about 54642: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
54642 is composite. Its prime factorisation is
- 3
The divisors add up to 124992; without 54642 itself that is 70350, so 54642 is abundant (70350 is more than 54642). Euler's totient φ(54642) = 15600 numbers up to 54642 share no factor with it.
- 4
The digits of 54642 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 54642 = 2 \times 3 \times 7 \times 1301 \]
54642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 124992 |
| Euler totient φ(n) | 15600 |
| Square | 2985748164 |
| Cube | 163147251177288 |
| Square root | 233.756283 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.4642 × |
54642 in other forms
| Form | Value |
|---|---|
| In words | fifty-four thousand six hundred and forty-two |
| Binary (base 2) | 1101010101110010 |
| Octal (base 8) | 152562 |
| Hexadecimal (base 16) | D572 |
| Base 3 | 2202221210 |
| As time | 54642 seconds = 15 h 10 min 42 s |
Is 54642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (54642 ÷ 2 = 27321) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (54642 ÷ 3 = 18214) | 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 (54642 ÷ 6 = 9107) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (54642 ÷ 7 = 7806) | 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 5) | 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 54642 a prime number?
No. 54642 = 2 × 3 × 7 × 1301, so it is divisible by 2.
What are the factors of 54642?
1, 2, 3, 6, 7, 14, 21, 42, 1301, 2602, 3903, 7806, 9107, 18214, 27321, 54642.
What is 54642 in binary?
1101010101110010 (hexadecimal D572, octal 152562).
What is the square root of 54642?
About 233.7563.
Is 54642 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 54642?
54642 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.