The number 23442
23442 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 3907. Divisors (8): 1, 2, 3, 6, 3907, 7814, 11721, 23442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23442: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23442 is composite. Its prime factorisation is
- 3
The divisors add up to 46896; without 23442 itself that is 23454, so 23442 is abundant (23454 is more than 23442). Euler's totient φ(23442) = 7812 numbers up to 23442 share no factor with it.
- 4
The digits of 23442 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23442 = 2 \times 3 \times 3907 \]
23442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46896 |
| Euler totient φ(n) | 7812 |
| Square | 549527364 |
| Cube | 12882020466888 |
| Square root | 153.107805 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.3442 × |
23442 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and forty-two |
| Binary (base 2) | 101101110010010 |
| Octal (base 8) | 55622 |
| Hexadecimal (base 16) | 5B92 |
| Base 3 | 1012011020 |
| As time | 23442 seconds = 6 h 30 min 42 s |
Is 23442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23442 ÷ 2 = 11721) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23442 ÷ 3 = 7814) | 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 | Yes (23442 ÷ 6 = 3907) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 1) | 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 23442 a prime number?
No. 23442 = 2 × 3 × 3907, so it is divisible by 2.
What are the factors of 23442?
1, 2, 3, 6, 3907, 7814, 11721, 23442.
What is 23442 in binary?
101101110010010 (hexadecimal 5B92, octal 55622).
What is the square root of 23442?
About 153.1078.
Is 23442 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 23442?
23442 is a happy number: repeatedly adding the squares of its digits reaches 1.