The number 42502
42502 is a composite number with 8 divisors. Its prime factorisation is 2 × 79 × 269. Divisors (8): 1, 2, 79, 158, 269, 538, 21251, 42502.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42502: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42502 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 42502 itself that is 22298, so 42502 is deficient (22298 is less than 42502). Euler's totient φ(42502) = 20904 numbers up to 42502 share no factor with it.
- 4
The digits of 42502 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42502 = 2 \times 79 \times 269 \]
42502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 20904 |
| Square | 1806420004 |
| Cube | 76776463010008 |
| Square root | 206.160132 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2502 × |
42502 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and two |
| Binary (base 2) | 1010011000000110 |
| Octal (base 8) | 123006 |
| Hexadecimal (base 16) | A606 |
| Base 3 | 2011022011 |
| As time | 42502 seconds = 11 h 48 min 22 s |
Is 42502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42502 ÷ 2 = 21251) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42502 a prime number?
No. 42502 = 2 × 79 × 269, so it is divisible by 2.
What are the factors of 42502?
1, 2, 79, 158, 269, 538, 21251, 42502.
What is 42502 in binary?
1010011000000110 (hexadecimal A606, octal 123006).
What is the square root of 42502?
About 206.1601.
Is 42502 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 42502?
42502 is a happy number: repeatedly adding the squares of its digits reaches 1.