The number 37124
37124 is a composite number with 6 divisors. Its prime factorisation is × 9281. Divisors (6): 1, 2, 4, 9281, 18562, 37124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37124: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37124 is composite. Its prime factorisation is
- 3
The divisors add up to 64974; without 37124 itself that is 27850, so 37124 is deficient (27850 is less than 37124). Euler's totient φ(37124) = 18560 numbers up to 37124 share no factor with it.
- 4
The digits of 37124 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37124 = 2^{2} \times 9281 \]37124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 64974 |
| Euler totient φ(n) | 18560 |
| Square | 1378191376 |
| Cube | 51163976642624 |
| Square root | 192.675894 (= 2√9281) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7124 × |
37124 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and twenty-four |
| Binary (base 2) | 1001000100000100 |
| Octal (base 8) | 110404 |
| Hexadecimal (base 16) | 9104 |
| Base 3 | 1212220222 |
| As time | 37124 seconds = 10 h 18 min 44 s |
Is 37124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37124 ÷ 2 = 18562) | 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 (37124 ÷ 4 = 9281) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | 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 37124 a prime number?
No. 37124 = × 9281, so it is divisible by 2.
What are the factors of 37124?
1, 2, 4, 9281, 18562, 37124.
What is 37124 in binary?
1001000100000100 (hexadecimal 9104, octal 110404).
What is the square root of 37124?
About 192.6759, exactly 2√9281.
Is 37124 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 37124?
37124 is a happy number: repeatedly adding the squares of its digits reaches 1.