The number 37970
37970 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 3797. Divisors (8): 1, 2, 5, 10, 3797, 7594, 18985, 37970.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37970: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37970 is composite. Its prime factorisation is
- 3
The divisors add up to 68364; without 37970 itself that is 30394, so 37970 is deficient (30394 is less than 37970). Euler's totient φ(37970) = 15184 numbers up to 37970 share no factor with it.
- 4
The digits of 37970 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 37970 = 2 \times 5 \times 3797 \]
37970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 68364 |
| Euler totient φ(n) | 15184 |
| Square | 1441720900 |
| Cube | 54742142573000 |
| Square root | 194.858923 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.797 × |
37970 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and seventy |
| Binary (base 2) | 1001010001010010 |
| Octal (base 8) | 112122 |
| Hexadecimal (base 16) | 9452 |
| Base 3 | 1221002022 |
| As time | 37970 seconds = 10 h 32 min 50 s |
Is 37970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (37970 ÷ 2 = 18985) | 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 (37970 ÷ 5 = 7594) | 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 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 | No (remainder 2) | 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 (37970 ÷ 10 = 3797) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37970 a prime number?
No. 37970 = 2 × 5 × 3797, so it is divisible by 2.
What are the factors of 37970?
1, 2, 5, 10, 3797, 7594, 18985, 37970.
What is 37970 in binary?
1001010001010010 (hexadecimal 9452, octal 112122).
What is the square root of 37970?
About 194.8589.
Is 37970 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 37970?
37970 is a happy number: repeatedly adding the squares of its digits reaches 1.