The number 37144
37144 is a composite number with 8 divisors. Its prime factorisation is × 4643. Divisors (8): 1, 2, 4, 8, 4643, 9286, 18572, 37144.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37144: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37144 is composite. Its prime factorisation is
- 3
The divisors add up to 69660; without 37144 itself that is 32516, so 37144 is deficient (32516 is less than 37144). Euler's totient φ(37144) = 18568 numbers up to 37144 share no factor with it.
- 4
The digits of 37144 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37144 = 2^{3} \times 4643 \]37144 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 69660 |
| Euler totient φ(n) | 18568 |
| Square | 1379676736 |
| Cube | 51246712681984 |
| Square root | 192.727787 (= 2√9286) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.7144 × |
37144 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and forty-four |
| Binary (base 2) | 1001000100011000 |
| Octal (base 8) | 110430 |
| Hexadecimal (base 16) | 9118 |
| Base 3 | 1212221201 |
| As time | 37144 seconds = 10 h 19 min 4 s |
Is 37144 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37144 ÷ 2 = 18572) | 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 (37144 ÷ 4 = 9286) | 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 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 (37144 ÷ 8 = 4643) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | 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 37144 a prime number?
No. 37144 = × 4643, so it is divisible by 2.
What are the factors of 37144?
1, 2, 4, 8, 4643, 9286, 18572, 37144.
What is 37144 in binary?
1001000100011000 (hexadecimal 9118, octal 110430).
What is the square root of 37144?
About 192.7278, exactly 2√9286.
Is 37144 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 37144?
37144 is a happy number: repeatedly adding the squares of its digits reaches 1.