The number 97964
97964 is a composite number with 12 divisors. Its prime factorisation is × 19 × 1289. Divisors (12): 1, 2, 4, 19, 38, 76, 1289, 2578, 5156, 24491, 48982, 97964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97964: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
97964 is composite. Its prime factorisation is
- 3
The divisors add up to 180600; without 97964 itself that is 82636, so 97964 is deficient (82636 is less than 97964). Euler's totient φ(97964) = 46368 numbers up to 97964 share no factor with it.
- 4
The digits of 97964 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97964 = 2^{2} \times 19 \times 1289 \]97964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 180600 |
| Euler totient φ(n) | 46368 |
| Square | 9596945296 |
| Cube | 940155148977344 |
| Square root | 312.992013 (= 2√24491) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.7964 × |
97964 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and sixty-four |
| Binary (base 2) | 10111111010101100 |
| Octal (base 8) | 277254 |
| Hexadecimal (base 16) | 17EAC |
| Base 3 | 11222101022 |
| As time | 97964 seconds = 27 h 12 min 44 s |
Is 97964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97964 ÷ 2 = 48982) | 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 | Yes (97964 ÷ 4 = 24491) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 4) | 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 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97964 a prime number?
No. 97964 = × 19 × 1289, so it is divisible by 2.
What are the factors of 97964?
1, 2, 4, 19, 38, 76, 1289, 2578, 5156, 24491, 48982, 97964.
What is 97964 in binary?
10111111010101100 (hexadecimal 17EAC, octal 277254).
What is the square root of 97964?
About 312.9920, exactly 2√24491.
Is 97964 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 97964?
97964 is a happy number: repeatedly adding the squares of its digits reaches 1.