The number 37070
37070 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 337. Divisors (16): 1, 2, 5, 10, 11, 22, 55, 110, 337, 674, 1685, 3370, 3707, 7414, 18535, 37070.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
37070 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
37070 is composite. Its prime factorisation is
- 3
The divisors add up to 73008; without 37070 itself that is 35938, so 37070 is deficient (35938 is less than 37070). Euler's totient φ(37070) = 13440 numbers up to 37070 share no factor with it.
- 4
The digits of 37070 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37070 = 2 \times 5 \times 11 \times 337 \]
37070 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73008 |
| Euler totient φ(n) | 13440 |
| Square | 1374184900 |
| Cube | 50941034243000 |
| Square root | 192.535711 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.707 × |
37070 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and seventy |
| Binary (base 2) | 1001000011001110 |
| Octal (base 8) | 110316 |
| Hexadecimal (base 16) | 90CE |
| Base 3 | 1212211222 |
| As time | 37070 seconds = 10 h 17 min 50 s |
Is 37070 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37070 ÷ 2 = 18535) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (37070 ÷ 5 = 7414) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (37070 ÷ 10 = 3707) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (37070 ÷ 11 = 3370) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37070 a prime number?
No. 37070 = 2 × 5 × 11 × 337, so it is divisible by 2.
What are the factors of 37070?
1, 2, 5, 10, 11, 22, 55, 110, 337, 674, 1685, 3370, 3707, 7414, 18535, 37070.
What is 37070 in binary?
1001000011001110 (hexadecimal 90CE, octal 110316).
What is the square root of 37070?
About 192.5357.
Is 37070 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 37070?
It is a composite number with 16 divisors.