The number 23842
23842 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 13 × 131. Divisors (16): 1, 2, 7, 13, 14, 26, 91, 131, 182, 262, 917, 1703, 1834, 3406, 11921, 23842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23842: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23842 is composite. Its prime factorisation is
- 3
The divisors add up to 44352; without 23842 itself that is 20510, so 23842 is deficient (20510 is less than 23842). Euler's totient φ(23842) = 9360 numbers up to 23842 share no factor with it.
- 4
The digits of 23842 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23842 = 2 \times 7 \times 13 \times 131 \]
23842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 44352 |
| Euler totient φ(n) | 9360 |
| Square | 568440964 |
| Cube | 13552769463688 |
| Square root | 154.408549 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.3842 × |
23842 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand eight hundred and forty-two |
| Binary (base 2) | 101110100100010 |
| Octal (base 8) | 56442 |
| Hexadecimal (base 16) | 5D22 |
| Base 3 | 1012201001 |
| As time | 23842 seconds = 6 h 37 min 22 s |
Is 23842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23842 ÷ 2 = 11921) | 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 | Yes (23842 ÷ 7 = 3406) | 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 1) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23842 a prime number?
No. 23842 = 2 × 7 × 13 × 131, so it is divisible by 2.
What are the factors of 23842?
1, 2, 7, 13, 14, 26, 91, 131, 182, 262, 917, 1703, 1834, 3406, 11921, 23842.
What is 23842 in binary?
101110100100010 (hexadecimal 5D22, octal 56442).
What is the square root of 23842?
About 154.4085.
Is 23842 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 23842?
23842 is a happy number: repeatedly adding the squares of its digits reaches 1.