The number 97416
97416 is a composite number with 64 divisors. Its prime factorisation is × × 11 × 41. Divisors (64): 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 41 … 97416.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97416: a Harshad number: divisible by its digit sum 27.
- 2
97416 is composite. Its prime factorisation is
- 3
The divisors add up to 302400; without 97416 itself that is 204984, so 97416 is abundant (204984 is more than 97416). Euler's totient φ(97416) = 28800 numbers up to 97416 share no factor with it.
- 4
The digits of 97416 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97416 = 2^{3} \times 3^{3} \times 11 \times 41 \]97416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 302400 |
| Euler totient φ(n) | 28800 |
| Square | 9489877056 |
| Cube | 924465863287296 |
| Square root | 312.115363 (= 6√2706) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.7416 × |
97416 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand four hundred and sixteen |
| Binary (base 2) | 10111110010001000 |
| Octal (base 8) | 276210 |
| Hexadecimal (base 16) | 17C88 |
| Base 3 | 11221122000 |
| As time | 97416 seconds = 27 h 3 min 36 s |
Is 97416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97416 ÷ 2 = 48708) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97416 ÷ 3 = 32472) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97416 ÷ 4 = 24354) | 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 | Yes (97416 ÷ 6 = 16236) | 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 (97416 ÷ 8 = 12177) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97416 ÷ 9 = 10824) | 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 | Yes (97416 ÷ 11 = 8856) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (97416 ÷ 12 = 8118) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97416 a prime number?
No. 97416 = × × 11 × 41, so it is divisible by 2.
What are the factors of 97416?
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 41, 44, 54, 66, 72, 82, 88, 99, 108, 123, 132, 164, 198, 216, 246, 264, 297, 328, 369, 396, 451, 492, 594, 738, 792, 902, 984, 1107, 1188, 1353, 1476, 1804, 2214, 2376, 2706, 2952, 3608, 4059, 4428, 5412, 8118, 8856, 10824, 12177, 16236, 24354, 32472, 48708, 97416.
What is 97416 in binary?
10111110010001000 (hexadecimal 17C88, octal 276210).
What is the square root of 97416?
About 312.1154, exactly 6√2706.
Is 97416 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97416?
97416 is a Harshad number: divisible by its digit sum 27.