The number 42753
42753 is a composite number with 4 divisors. Its prime factorisation is 3 × 14251. Divisors (4): 1, 3, 14251, 42753.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42753: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 14251, the product of two primes.
- 2
42753 is composite. Its prime factorisation is
- 3
The divisors add up to 57008; without 42753 itself that is 14255, so 42753 is deficient (14255 is less than 42753). Euler's totient φ(42753) = 28500 numbers up to 42753 share no factor with it.
- 4
The digits of 42753 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
\[ 42753 = 3 \times 14251 \]
42753 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 57008 |
| Euler totient φ(n) | 28500 |
| Square | 1827819009 |
| Cube | 78144746091777 |
| Square root | 206.767986 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2753 × |
42753 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and fifty-three |
| Binary (base 2) | 1010011100000001 |
| Octal (base 8) | 123401 |
| Hexadecimal (base 16) | A701 |
| Base 3 | 2011122110 |
| As time | 42753 seconds = 11 h 52 min 33 s |
Is 42753 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42753 ÷ 3 = 14251) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | 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 3) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42753 a prime number?
No. 42753 = 3 × 14251, so it is divisible by 3.
What are the factors of 42753?
1, 3, 14251, 42753.
What is 42753 in binary?
1010011100000001 (hexadecimal A701, octal 123401).
What is the square root of 42753?
About 206.7680.
Is 42753 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42753?
42753 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 14251, the product of two primes.