The number 42456
42456 is a composite number with 32 divisors. Its prime factorisation is × 3 × 29 × 61. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 61, 87, 116, 122, 174, 183 … 42456.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42456: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42456 is composite. Its prime factorisation is
- 3
The divisors add up to 111600; without 42456 itself that is 69144, so 42456 is abundant (69144 is more than 42456). Euler's totient φ(42456) = 13440 numbers up to 42456 share no factor with it.
- 4
The digits of 42456 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42456 = 2^{3} \times 3 \times 29 \times 61 \]42456 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 111600 |
| Euler totient φ(n) | 13440 |
| Square | 1802511936 |
| Cube | 76527446754816 |
| Square root | 206.048538 (= 2√10614) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2456 × |
42456 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and fifty-six |
| Binary (base 2) | 1010010111011000 |
| Octal (base 8) | 122730 |
| Hexadecimal (base 16) | A5D8 |
| Base 3 | 2011020110 |
| As time | 42456 seconds = 11 h 47 min 36 s |
Is 42456 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42456 ÷ 2 = 21228) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42456 ÷ 3 = 14152) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42456 ÷ 4 = 10614) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42456 ÷ 6 = 7076) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (42456 ÷ 8 = 5307) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42456 ÷ 12 = 3538) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42456 a prime number?
No. 42456 = × 3 × 29 × 61, so it is divisible by 2.
What are the factors of 42456?
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 61, 87, 116, 122, 174, 183, 232, 244, 348, 366, 488, 696, 732, 1464, 1769, 3538, 5307, 7076, 10614, 14152, 21228, 42456.
What is 42456 in binary?
1010010111011000 (hexadecimal A5D8, octal 122730).
What is the square root of 42456?
About 206.0485, exactly 2√10614.
Is 42456 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42456?
42456 is a happy number: repeatedly adding the squares of its digits reaches 1.