The number 37444
37444 is a composite number with 24 divisors. Its prime factorisation is × 11 × 23 × 37. Divisors (24): 1, 2, 4, 11, 22, 23, 37, 44, 46, 74, 92, 148, 253, 407, 506, 814 … 37444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37444: a Harshad number: divisible by its digit sum 22.
- 2
37444 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 37444 itself that is 39164, so 37444 is abundant (39164 is more than 37444). Euler's totient φ(37444) = 15840 numbers up to 37444 share no factor with it.
- 4
The digits of 37444 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37444 = 2^{2} \times 11 \times 23 \times 37 \]37444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 15840 |
| Square | 1402053136 |
| Cube | 52498477624384 |
| Square root | 193.504522 (= 2√9361) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.7444 × |
37444 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and forty-four |
| Binary (base 2) | 1001001001000100 |
| Octal (base 8) | 111104 |
| Hexadecimal (base 16) | 9244 |
| Base 3 | 1220100211 |
| As time | 37444 seconds = 10 h 24 min 4 s |
Is 37444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37444 ÷ 2 = 18722) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (37444 ÷ 4 = 9361) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 | Yes (37444 ÷ 11 = 3404) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37444 a prime number?
No. 37444 = × 11 × 23 × 37, so it is divisible by 2.
What are the factors of 37444?
1, 2, 4, 11, 22, 23, 37, 44, 46, 74, 92, 148, 253, 407, 506, 814, 851, 1012, 1628, 1702, 3404, 9361, 18722, 37444.
What is 37444 in binary?
1001001001000100 (hexadecimal 9244, octal 111104).
What is the square root of 37444?
About 193.5045, exactly 2√9361.
Is 37444 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 37444?
37444 is a Harshad number: divisible by its digit sum 22.