The number 97376
97376 is a composite number with 24 divisors. Its prime factorisation is × 17 × 179. Divisors (24): 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 179, 272, 358, 544, 716, 1432 … 97376.
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How to work it out
- 1
What is special about 97376: a Harshad number: divisible by its digit sum 32.
- 2
97376 is composite. Its prime factorisation is
- 3
The divisors add up to 204120; without 97376 itself that is 106744, so 97376 is abundant (106744 is more than 97376). Euler's totient φ(97376) = 45568 numbers up to 97376 share no factor with it.
- 4
The digits of 97376 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97376 = 2^{5} \times 17 \times 179 \]97376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 204120 |
| Euler totient φ(n) | 45568 |
| Square | 9482085376 |
| Cube | 923327545573376 |
| Square root | 312.051278 (= 4√6086) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 115 |
| Scientific notation | 9.7376 × |
97376 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand three hundred and seventy-six |
| Binary (base 2) | 10111110001100000 |
| Octal (base 8) | 276140 |
| Hexadecimal (base 16) | 17C60 |
| Base 3 | 11221120112 |
| As time | 97376 seconds = 27 h 2 min 56 s |
Is 97376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97376 ÷ 2 = 48688) | 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 (97376 ÷ 4 = 24344) | 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 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 | Yes (97376 ÷ 8 = 12172) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | 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 97376 a prime number?
No. 97376 = × 17 × 179, so it is divisible by 2.
What are the factors of 97376?
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 179, 272, 358, 544, 716, 1432, 2864, 3043, 5728, 6086, 12172, 24344, 48688, 97376.
What is 97376 in binary?
10111110001100000 (hexadecimal 17C60, octal 276140).
What is the square root of 97376?
About 312.0513, exactly 4√6086.
Is 97376 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 97376?
97376 is a Harshad number: divisible by its digit sum 32.