The number 37006
37006 is a composite number with 4 divisors. Its prime factorisation is 2 × 18503. Divisors (4): 1, 2, 18503, 37006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37006: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 18503, the product of two primes.
- 2
37006 is composite. Its prime factorisation is
- 3
The divisors add up to 55512; without 37006 itself that is 18506, so 37006 is deficient (18506 is less than 37006). Euler's totient φ(37006) = 18502 numbers up to 37006 share no factor with it.
- 4
The digits of 37006 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37006 = 2 \times 18503 \]
37006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 55512 |
| Euler totient φ(n) | 18502 |
| Square | 1369444036 |
| Cube | 50677645996216 |
| Square root | 192.369436 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.7006 × |
37006 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and six |
| Binary (base 2) | 1001000010001110 |
| Octal (base 8) | 110216 |
| Hexadecimal (base 16) | 908E |
| Base 3 | 1212202121 |
| As time | 37006 seconds = 10 h 16 min 46 s |
Is 37006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37006 ÷ 2 = 18503) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37006 a prime number?
No. 37006 = 2 × 18503, so it is divisible by 2.
What are the factors of 37006?
1, 2, 18503, 37006.
What is 37006 in binary?
1001000010001110 (hexadecimal 908E, octal 110216).
What is the square root of 37006?
About 192.3694.
Is 37006 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 37006?
37006 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 18503, the product of two primes.