The number 42354
42354 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 181. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 181, 234, 362, 543, 1086 … 42354.
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How to work it out
- 1
What is special about 42354: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
42354 is composite. Its prime factorisation is
- 3
The divisors add up to 99372; without 42354 itself that is 57018, so 42354 is abundant (57018 is more than 42354). Euler's totient φ(42354) = 12960 numbers up to 42354 share no factor with it.
- 4
The digits of 42354 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42354 = 2 \times 3^{2} \times 13 \times 181 \]42354 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 99372 |
| Euler totient φ(n) | 12960 |
| Square | 1793861316 |
| Cube | 75977202177864 |
| Square root | 205.800875 (= 3√4706) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2354 × |
42354 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and fifty-four |
| Binary (base 2) | 1010010101110010 |
| Octal (base 8) | 122562 |
| Hexadecimal (base 16) | A572 |
| Base 3 | 2011002200 |
| As time | 42354 seconds = 11 h 45 min 54 s |
Is 42354 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42354 ÷ 2 = 21177) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42354 ÷ 3 = 14118) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42354 ÷ 6 = 7059) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (42354 ÷ 9 = 4706) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 42354 a prime number?
No. 42354 = 2 × × 13 × 181, so it is divisible by 2.
What are the factors of 42354?
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 181, 234, 362, 543, 1086, 1629, 2353, 3258, 4706, 7059, 14118, 21177, 42354.
What is 42354 in binary?
1010010101110010 (hexadecimal A572, octal 122562).
What is the square root of 42354?
About 205.8009, exactly 3√4706.
Is 42354 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42354?
42354 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.