The number 97713
97713 is a composite number with 32 divisors. Its prime factorisation is × 7 × 11 × 47. Divisors (32): 1, 3, 7, 9, 11, 21, 27, 33, 47, 63, 77, 99, 141, 189, 231, 297 … 97713.
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How to work it out
- 1
What is special about 97713: a Harshad number: divisible by its digit sum 27.
- 2
97713 is composite. Its prime factorisation is
- 3
The divisors add up to 184320; without 97713 itself that is 86607, so 97713 is deficient (86607 is less than 97713). Euler's totient φ(97713) = 49680 numbers up to 97713 share no factor with it.
- 4
The digits of 97713 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97713 = 3^{3} \times 7 \times 11 \times 47 \]97713 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 184320 |
| Euler totient φ(n) | 49680 |
| Square | 9547830369 |
| Cube | 932947148846097 |
| Square root | 312.590787 (= 3√10857) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7713 × |
97713 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and thirteen |
| Binary (base 2) | 10111110110110001 |
| Octal (base 8) | 276661 |
| Hexadecimal (base 16) | 17DB1 |
| Base 3 | 11222001000 |
| As time | 97713 seconds = 27 h 8 min 33 s |
Is 97713 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97713 ÷ 3 = 32571) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97713 ÷ 7 = 13959) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (97713 ÷ 9 = 10857) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97713 ÷ 11 = 8883) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97713 a prime number?
No. 97713 = × 7 × 11 × 47, so it is divisible by 3.
What are the factors of 97713?
1, 3, 7, 9, 11, 21, 27, 33, 47, 63, 77, 99, 141, 189, 231, 297, 329, 423, 517, 693, 987, 1269, 1551, 2079, 2961, 3619, 4653, 8883, 10857, 13959, 32571, 97713.
What is 97713 in binary?
10111110110110001 (hexadecimal 17DB1, octal 276661).
What is the square root of 97713?
About 312.5908, exactly 3√10857.
Is 97713 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97713?
97713 is a Harshad number: divisible by its digit sum 27.