The number 97977
97977 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 2969. Divisors (8): 1, 3, 11, 33, 2969, 8907, 32659, 97977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
97977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
97977 is composite. Its prime factorisation is
- 3
The divisors add up to 142560; without 97977 itself that is 44583, so 97977 is deficient (44583 is less than 97977). Euler's totient φ(97977) = 59360 numbers up to 97977 share no factor with it.
- 4
The digits of 97977 add up to 39, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97977 = 3 \times 11 \times 2969 \]
97977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 142560 |
| Euler totient φ(n) | 59360 |
| Square | 9599492529 |
| Cube | 940529479513833 |
| Square root | 313.012779 |
| Digit sum / digital root | 39 / 3 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.7977 × |
97977 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and seventy-seven |
| Binary (base 2) | 10111111010111001 |
| Octal (base 8) | 277271 |
| Hexadecimal (base 16) | 17EB9 |
| Base 3 | 11222101210 |
| As time | 97977 seconds = 27 h 12 min 57 s |
Is 97977 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 (97977 ÷ 3 = 32659) | 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 2) | 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 | No (remainder 5) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (97977 ÷ 11 = 8907) | 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 97977 a prime number?
No. 97977 = 3 × 11 × 2969, so it is divisible by 3.
What are the factors of 97977?
1, 3, 11, 33, 2969, 8907, 32659, 97977.
What is 97977 in binary?
10111111010111001 (hexadecimal 17EB9, octal 277271).
What is the square root of 97977?
About 313.0128.
Is 97977 divisible by 3?
Yes. Its digits add up to 39, a multiple of 3.
What is special about the number 97977?
It is a composite number with 8 divisors.