The number 37424
37424 is a composite number with 10 divisors. Its prime factorisation is × 2339. Divisors (10): 1, 2, 4, 8, 16, 2339, 4678, 9356, 18712, 37424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37424: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37424 is composite. Its prime factorisation is
- 3
The divisors add up to 72540; without 37424 itself that is 35116, so 37424 is deficient (35116 is less than 37424). Euler's totient φ(37424) = 18704 numbers up to 37424 share no factor with it.
- 4
The digits of 37424 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 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37424 = 2^{4} \times 2339 \]37424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 72540 |
| Euler totient φ(n) | 18704 |
| Square | 1400555776 |
| Cube | 52414399361024 |
| Square root | 193.452837 (= 4√2339) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7424 × |
37424 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and twenty-four |
| Binary (base 2) | 1001001000110000 |
| Octal (base 8) | 111060 |
| Hexadecimal (base 16) | 9230 |
| Base 3 | 1220100002 |
| As time | 37424 seconds = 10 h 23 min 44 s |
Is 37424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37424 ÷ 2 = 18712) | 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 | Yes (37424 ÷ 4 = 9356) | 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 2) | 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 | Yes (37424 ÷ 8 = 4678) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37424 a prime number?
No. 37424 = × 2339, so it is divisible by 2.
What are the factors of 37424?
1, 2, 4, 8, 16, 2339, 4678, 9356, 18712, 37424.
What is 37424 in binary?
1001001000110000 (hexadecimal 9230, octal 111060).
What is the square root of 37424?
About 193.4528, exactly 4√2339.
Is 37424 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37424?
37424 is a happy number: repeatedly adding the squares of its digits reaches 1.