The number 97770
97770 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 3259. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 3259, 6518, 9777, 16295, 19554, 32590, 48885, 97770.
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How to work it out
- 1
What is special about 97770: a Harshad number: divisible by its digit sum 30.
- 2
97770 is composite. Its prime factorisation is
- 3
The divisors add up to 234720; without 97770 itself that is 136950, so 97770 is abundant (136950 is more than 97770). Euler's totient φ(97770) = 26064 numbers up to 97770 share no factor with it.
- 4
The digits of 97770 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97770 = 2 \times 3 \times 5 \times 3259 \]
97770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 234720 |
| Euler totient φ(n) | 26064 |
| Square | 9558972900 |
| Cube | 934580780433000 |
| Square root | 312.681947 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.777 × |
97770 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand seven hundred and seventy |
| Binary (base 2) | 10111110111101010 |
| Octal (base 8) | 276752 |
| Hexadecimal (base 16) | 17DEA |
| Base 3 | 11222010010 |
| As time | 97770 seconds = 27 h 9 min 30 s |
Is 97770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (97770 ÷ 2 = 48885) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (97770 ÷ 3 = 32590) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (97770 ÷ 5 = 19554) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (97770 ÷ 6 = 16295) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (97770 ÷ 10 = 9777) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97770 a prime number?
No. 97770 = 2 × 3 × 5 × 3259, so it is divisible by 2.
What are the factors of 97770?
1, 2, 3, 5, 6, 10, 15, 30, 3259, 6518, 9777, 16295, 19554, 32590, 48885, 97770.
What is 97770 in binary?
10111110111101010 (hexadecimal 17DEA, octal 276752).
What is the square root of 97770?
About 312.6819.
Is 97770 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 97770?
97770 is a Harshad number: divisible by its digit sum 30.