The number 97976
97976 is a composite number with 16 divisors. Its prime factorisation is × 37 × 331. Divisors (16): 1, 2, 4, 8, 37, 74, 148, 296, 331, 662, 1324, 2648, 12247, 24494, 48988, 97976.
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How to work it out
- 1
97976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97976 is composite. Its prime factorisation is
- 3
The divisors add up to 189240; without 97976 itself that is 91264, so 97976 is deficient (91264 is less than 97976). Euler's totient φ(97976) = 47520 numbers up to 97976 share no factor with it.
- 4
The digits of 97976 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97976 = 2^{3} \times 37 \times 331 \]97976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 189240 |
| Euler totient φ(n) | 47520 |
| Square | 9599296576 |
| Cube | 940500681330176 |
| Square root | 313.011182 (= 2√24494) |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.7976 × |
97976 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and seventy-six |
| Binary (base 2) | 10111111010111000 |
| Octal (base 8) | 277270 |
| Hexadecimal (base 16) | 17EB8 |
| Base 3 | 11222101202 |
| As time | 97976 seconds = 27 h 12 min 56 s |
Is 97976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97976 ÷ 2 = 48988) | 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 (97976 ÷ 4 = 24494) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | Yes (97976 ÷ 8 = 12247) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97976 a prime number?
No. 97976 = × 37 × 331, so it is divisible by 2.
What are the factors of 97976?
1, 2, 4, 8, 37, 74, 148, 296, 331, 662, 1324, 2648, 12247, 24494, 48988, 97976.
What is 97976 in binary?
10111111010111000 (hexadecimal 17EB8, octal 277270).
What is the square root of 97976?
About 313.0112, exactly 2√24494.
Is 97976 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 97976?
It is a composite number with 16 divisors.