The number 9970
9970 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 997. Divisors (8): 1, 2, 5, 10, 997, 1994, 4985, 9970.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9970 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9970 is composite. Its prime factorisation is
- 3
The divisors add up to 17964; without 9970 itself that is 7994, so 9970 is deficient (7994 is less than 9970). Euler's totient φ(9970) = 3984 numbers up to 9970 share no factor with it.
- 4
The digits of 9970 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9970 = 2 \times 5 \times 997 \]
9970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17964 |
| Euler totient φ(n) | 3984 |
| Square | 99400900 |
| Cube | 991026973000 |
| Square root | 99.849887 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 117 |
| Scientific notation | 9.97 × |
9970 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and seventy |
| Binary (base 2) | 10011011110010 |
| Octal (base 8) | 23362 |
| Hexadecimal (base 16) | 26F2 |
| Base 3 | 111200021 |
| As time | 9970 seconds = 2 h 46 min 10 s |
Is 9970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9970 ÷ 2 = 4985) | 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 (9970 ÷ 5 = 1994) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9970 ÷ 10 = 997) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 9970 a prime number?
No. 9970 = 2 × 5 × 997, so it is divisible by 2.
What are the factors of 9970?
1, 2, 5, 10, 997, 1994, 4985, 9970.
What is 9970 in binary?
10011011110010 (hexadecimal 26F2, octal 23362).
What is the square root of 9970?
About 99.8499.
Is 9970 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9970?
It is a composite number with 8 divisors.