The number 42374
42374 is a composite number with 4 divisors. Its prime factorisation is 2 × 21187. Divisors (4): 1, 2, 21187, 42374.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42374: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 21187, the product of two primes.
- 2
42374 is composite. Its prime factorisation is
- 3
The divisors add up to 63564; without 42374 itself that is 21190, so 42374 is deficient (21190 is less than 42374). Euler's totient φ(42374) = 21186 numbers up to 42374 share no factor with it.
- 4
The digits of 42374 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42374 = 2 \times 21187 \]
42374 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 63564 |
| Euler totient φ(n) | 21186 |
| Square | 1795555876 |
| Cube | 76084884689624 |
| Square root | 205.849460 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.2374 × |
42374 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and seventy-four |
| Binary (base 2) | 1010010110000110 |
| Octal (base 8) | 122606 |
| Hexadecimal (base 16) | A586 |
| Base 3 | 2011010102 |
| As time | 42374 seconds = 11 h 46 min 14 s |
Is 42374 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42374 ÷ 2 = 21187) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42374 a prime number?
No. 42374 = 2 × 21187, so it is divisible by 2.
What are the factors of 42374?
1, 2, 21187, 42374.
What is 42374 in binary?
1010010110000110 (hexadecimal A586, octal 122606).
What is the square root of 42374?
About 205.8495.
Is 42374 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 42374?
42374 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 21187, the product of two primes.