The number 37434
37434 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 367. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 367, 734, 1101, 2202, 6239, 12478, 18717, 37434.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37434 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37434 is composite. Its prime factorisation is
- 3
The divisors add up to 79488; without 37434 itself that is 42054, so 37434 is abundant (42054 is more than 37434). Euler's totient φ(37434) = 11712 numbers up to 37434 share no factor with it.
- 4
The digits of 37434 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37434 = 2 \times 3 \times 17 \times 367 \]
37434 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79488 |
| Euler totient φ(n) | 11712 |
| Square | 1401304356 |
| Cube | 52456427262504 |
| Square root | 193.478681 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.7434 × |
37434 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and thirty-four |
| Binary (base 2) | 1001001000111010 |
| Octal (base 8) | 111072 |
| Hexadecimal (base 16) | 923A |
| Base 3 | 1220100110 |
| As time | 37434 seconds = 10 h 23 min 54 s |
Is 37434 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37434 ÷ 2 = 18717) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (37434 ÷ 3 = 12478) | 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 | Yes (37434 ÷ 6 = 6239) | 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 2) | 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 4) | 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 37434 a prime number?
No. 37434 = 2 × 3 × 17 × 367, so it is divisible by 2.
What are the factors of 37434?
1, 2, 3, 6, 17, 34, 51, 102, 367, 734, 1101, 2202, 6239, 12478, 18717, 37434.
What is 37434 in binary?
1001001000111010 (hexadecimal 923A, octal 111072).
What is the square root of 37434?
About 193.4787.
Is 37434 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 37434?
It is a composite number with 16 divisors.