The number 97740
97740 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 181. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 97740.
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How to work it out
- 1
What is special about 97740: a Harshad number: divisible by its digit sum 27.
- 2
97740 is composite. Its prime factorisation is
- 3
The divisors add up to 305760; without 97740 itself that is 208020, so 97740 is abundant (208020 is more than 97740). Euler's totient φ(97740) = 25920 numbers up to 97740 share no factor with it.
- 4
The digits of 97740 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 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97740 = 2^{2} \times 3^{3} \times 5 \times 181 \]97740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 305760 |
| Euler totient φ(n) | 25920 |
| Square | 9553107600 |
| Cube | 933720736824000 |
| Square root | 312.633971 (= 6√2715) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 9.774 × |
97740 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and forty |
| Binary (base 2) | 10111110111001100 |
| Octal (base 8) | 276714 |
| Hexadecimal (base 16) | 17DCC |
| Base 3 | 11222002000 |
| As time | 97740 seconds = 27 h 9 min 0 s |
Is 97740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97740 ÷ 2 = 48870) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97740 ÷ 3 = 32580) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (97740 ÷ 4 = 24435) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97740 ÷ 5 = 19548) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (97740 ÷ 6 = 16290) | 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 | Yes (97740 ÷ 9 = 10860) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97740 ÷ 10 = 9774) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (97740 ÷ 12 = 8145) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97740 a prime number?
No. 97740 = × × 5 × 181, so it is divisible by 2.
What are the factors of 97740?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 181, 270, 362, 540, 543, 724, 905, 1086, 1629, 1810, 2172, 2715, 3258, 3620, 4887, 5430, 6516, 8145, 9774, 10860, 16290, 19548, 24435, 32580, 48870, 97740.
What is 97740 in binary?
10111110111001100 (hexadecimal 17DCC, octal 276714).
What is the square root of 97740?
About 312.6340, exactly 6√2715.
Is 97740 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 97740?
97740 is a Harshad number: divisible by its digit sum 27.