The number 5970
5970 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 199. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5970 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5970 is composite. Its prime factorisation is
- 3
The divisors add up to 14400; without 5970 itself that is 8430, so 5970 is abundant (8430 is more than 5970). Euler's totient φ(5970) = 1584 numbers up to 5970 share no factor with it.
- 4
The digits of 5970 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5970 = 2 \times 3 \times 5 \times 199 \]
5970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14400 |
| Euler totient φ(n) | 1584 |
| Square | 35640900 |
| Cube | 212776173000 |
| Square root | 77.265775 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 5.97 × |
5970 in other forms
| Form | Value |
|---|---|
| In words | five thousand nine hundred and seventy |
| Binary (base 2) | 1011101010010 |
| Octal (base 8) | 13522 |
| Hexadecimal (base 16) | 1752 |
| Base 3 | 22012010 |
| As time | 5970 seconds = 1 h 39 min 30 s |
Is 5970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5970 ÷ 2 = 2985) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5970 ÷ 3 = 1990) | 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 (5970 ÷ 5 = 1194) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5970 ÷ 6 = 995) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5970 ÷ 10 = 597) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5970 a prime number?
No. 5970 = 2 × 3 × 5 × 199, so it is divisible by 2.
What are the factors of 5970?
1, 2, 3, 5, 6, 10, 15, 30, 199, 398, 597, 995, 1194, 1990, 2985, 5970.
What is 5970 in binary?
1011101010010 (hexadecimal 1752, octal 13522).
What is the square root of 5970?
About 77.2658.
Is 5970 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5970?
It is a composite number with 16 divisors.