The number 97661
97661 is a binary palindrome (10111110101111101). Its prime factorisation is 61 × 1601. Divisors (4): 1, 61, 1601, 97661.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97661: a binary palindrome (10111110101111101); a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 1601, the product of two primes.
- 2
97661 is composite. Its prime factorisation is
- 3
The divisors add up to 99324; without 97661 itself that is 1663, so 97661 is deficient (1663 is less than 97661). Euler's totient φ(97661) = 96000 numbers up to 97661 share no factor with it.
- 4
The digits of 97661 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97661 = 61 \times 1601 \]
97661 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 99324 |
| Euler totient φ(n) | 96000 |
| Square | 9537670921 |
| Cube | 931458479815781 |
| Square root | 312.507600 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 159 |
| Scientific notation | 9.7661 × |
97661 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand six hundred and sixty-one |
| Binary (base 2) | 10111110101111101 |
| Octal (base 8) | 276575 |
| Hexadecimal (base 16) | 17D7D |
| Base 3 | 11221222002 |
| As time | 97661 seconds = 27 h 7 min 41 s |
Is 97661 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 | No (remainder 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97661 a prime number?
No. 97661 = 61 × 1601, so it is divisible by 61.
What are the factors of 97661?
1, 61, 1601, 97661.
What is 97661 in binary?
10111110101111101 (hexadecimal 17D7D, octal 276575).
What is the square root of 97661?
About 312.5076.
Is 97661 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 97661?
97661 is a binary palindrome (10111110101111101); a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 61 × 1601, the product of two primes.