The number 3970
3970 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 397. Divisors (8): 1, 2, 5, 10, 397, 794, 1985, 3970.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3970: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3970 is composite. Its prime factorisation is
- 3
The divisors add up to 7164; without 3970 itself that is 3194, so 3970 is deficient (3194 is less than 3970). Euler's totient φ(3970) = 1584 numbers up to 3970 share no factor with it.
- 4
The digits of 3970 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3970 = 2 \times 5 \times 397 \]
3970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7164 |
| Euler totient φ(n) | 1584 |
| Square | 15760900 |
| Cube | 62570773000 |
| Square root | 63.007936 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 51 |
| Scientific notation | 3.97 × |
3970 in other forms
| Form | Value |
|---|---|
| In words | three thousand nine hundred and seventy |
| Roman numerals | MMMCMLXX |
| Binary (base 2) | 111110000010 |
| Octal (base 8) | 7602 |
| Hexadecimal (base 16) | F82 |
| Base 3 | 12110001 |
| As time | 3970 seconds = 1 h 6 min 10 s |
Is 3970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3970 ÷ 2 = 1985) | 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 | Yes (3970 ÷ 5 = 794) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (3970 ÷ 10 = 397) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 3970 a prime number?
No. 3970 = 2 × 5 × 397, so it is divisible by 2.
What are the factors of 3970?
1, 2, 5, 10, 397, 794, 1985, 3970.
What is 3970 in binary?
111110000010 (hexadecimal F82, octal 7602).
What is the square root of 3970?
About 63.0079.
What is 3970 in Roman numerals?
MMMCMLXX.
Is 3970 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 3970?
3970 is a happy number: repeatedly adding the squares of its digits reaches 1.