The number 970
970 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 97. Divisors (8): 1, 2, 5, 10, 97, 194, 485, 970.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 970: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
970 is composite. Its prime factorisation is
- 3
The divisors add up to 1764; without 970 itself that is 794, so 970 is deficient (794 is less than 970). Euler's totient φ(970) = 384 numbers up to 970 share no factor with it.
- 4
The digits of 970 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 970 = 2 \times 5 \times 97 \]
970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1764 |
| Euler totient φ(n) | 384 |
| Square | 940900 |
| Cube | 912673000 |
| Square root | 31.144823 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 98 |
| Scientific notation | 9.7 × |
970 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and seventy |
| Roman numerals | CMLXX |
| Binary (base 2) | 1111001010 |
| Octal (base 8) | 1712 |
| Hexadecimal (base 16) | 3CA |
| Base 3 | 1022221 |
| As time | 970 seconds = 16 min 10 s |
Is 970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (970 ÷ 2 = 485) | 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 (970 ÷ 5 = 194) | 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 4) | 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 (970 ÷ 10 = 97) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 970 a prime number?
No. 970 = 2 × 5 × 97, so it is divisible by 2.
What are the factors of 970?
1, 2, 5, 10, 97, 194, 485, 970.
What is 970 in binary?
1111001010 (hexadecimal 3CA, octal 1712).
What is the square root of 970?
About 31.1448.
What is 970 in Roman numerals?
CMLXX.
Is 970 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 970?
970 is a happy number: repeatedly adding the squares of its digits reaches 1.