The number 37073
37073 is a palindrome: it reads 37073 backwards too. Its prime factorisation is 131 × 283. Divisors (4): 1, 131, 283, 37073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37073: a palindrome: it reads 37073 backwards too; a semiprime: 131 × 283, the product of two primes.
- 2
37073 is composite. Its prime factorisation is
- 3
The divisors add up to 37488; without 37073 itself that is 415, so 37073 is deficient (415 is less than 37073). Euler's totient φ(37073) = 36660 numbers up to 37073 share no factor with it.
- 4
The digits of 37073 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37073 = 131 \times 283 \]
37073 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 37488 |
| Euler totient φ(n) | 36660 |
| Square | 1374407329 |
| Cube | 50953402908017 |
| Square root | 192.543502 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.7073 × |
37073 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and seventy-three |
| Binary (base 2) | 1001000011010001 |
| Octal (base 8) | 110321 |
| Hexadecimal (base 16) | 90D1 |
| Base 3 | 1212212002 |
| As time | 37073 seconds = 10 h 17 min 53 s |
Is 37073 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 | No (remainder 3) | 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 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 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 37073 a prime number?
No. 37073 = 131 × 283, so it is divisible by 131.
What are the factors of 37073?
1, 131, 283, 37073.
What is 37073 in binary?
1001000011010001 (hexadecimal 90D1, octal 110321).
What is the square root of 37073?
About 192.5435.
Is 37073 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37073?
37073 is a palindrome: it reads 37073 backwards too; a semiprime: 131 × 283, the product of two primes.