The number 37145
37145 is a composite number with 16 divisors. Its prime factorisation is 5 × 17 × 19 × 23. Divisors (16): 1, 5, 17, 19, 23, 85, 95, 115, 323, 391, 437, 1615, 1955, 2185, 7429, 37145.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37145: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37145 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 37145 itself that is 14695, so 37145 is deficient (14695 is less than 37145). Euler's totient φ(37145) = 25344 numbers up to 37145 share no factor with it.
- 4
The digits of 37145 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37145 = 5 \times 17 \times 19 \times 23 \]
37145 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 25344 |
| Square | 1379751025 |
| Cube | 51250851823625 |
| Square root | 192.730382 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.7145 × |
37145 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and forty-five |
| Binary (base 2) | 1001000100011001 |
| Octal (base 8) | 110431 |
| Hexadecimal (base 16) | 9119 |
| Base 3 | 1212221202 |
| As time | 37145 seconds = 10 h 19 min 5 s |
Is 37145 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37145 ÷ 5 = 7429) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | 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 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37145 a prime number?
No. 37145 = 5 × 17 × 19 × 23, so it is divisible by 5.
What are the factors of 37145?
1, 5, 17, 19, 23, 85, 95, 115, 323, 391, 437, 1615, 1955, 2185, 7429, 37145.
What is 37145 in binary?
1001000100011001 (hexadecimal 9119, octal 110431).
What is the square root of 37145?
About 192.7304.
Is 37145 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37145?
37145 is a happy number: repeatedly adding the squares of its digits reaches 1.