The number 37244
37244 is a composite number with 6 divisors. Its prime factorisation is × 9311. Divisors (6): 1, 2, 4, 9311, 18622, 37244.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37244: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37244 is composite. Its prime factorisation is
- 3
The divisors add up to 65184; without 37244 itself that is 27940, so 37244 is deficient (27940 is less than 37244). Euler's totient φ(37244) = 18620 numbers up to 37244 share no factor with it.
- 4
The digits of 37244 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37244 = 2^{2} \times 9311 \]37244 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 65184 |
| Euler totient φ(n) | 18620 |
| Square | 1387115536 |
| Cube | 51661731022784 |
| Square root | 192.987046 (= 2√9311) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.7244 × |
37244 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand two hundred and forty-four |
| Binary (base 2) | 1001000101111100 |
| Octal (base 8) | 110574 |
| Hexadecimal (base 16) | 917C |
| Base 3 | 1220002102 |
| As time | 37244 seconds = 10 h 20 min 44 s |
Is 37244 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37244 ÷ 2 = 18622) | 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 (37244 ÷ 4 = 9311) | 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 4) | 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 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 9) | 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 37244 a prime number?
No. 37244 = × 9311, so it is divisible by 2.
What are the factors of 37244?
1, 2, 4, 9311, 18622, 37244.
What is 37244 in binary?
1001000101111100 (hexadecimal 917C, octal 110574).
What is the square root of 37244?
About 192.9870, exactly 2√9311.
Is 37244 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37244?
37244 is a happy number: repeatedly adding the squares of its digits reaches 1.