The number 32977
32977 is a composite number with 6 divisors. Its prime factorisation is Ć 673. Divisors (6): 1, 7, 49, 673, 4711, 32977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32977: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32977 is composite. Its prime factorisation is
- 3
The divisors add up to 38418; without 32977 itself that is 5441, so 32977 is deficient (5441 is less than 32977). Euler's totient Ļ(32977) = 28224 numbers up to 32977 share no factor with it.
- 4
The digits of 32977 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32977 = 7^{2} \times 673 \]32977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 38418 |
| Euler totient Ļ(n) | 28224 |
| Square | 1087482529 |
| Cube | 35861911358833 |
| Square root | 181.595705 (= 7ā673) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2977 Ć |
32977 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and seventy-seven |
| Binary (base 2) | 1000000011010001 |
| Octal (base 8) | 100321 |
| Hexadecimal (base 16) | 80D1 |
| Base 3 | 1200020101 |
| As time | 32977 seconds = 9 h 9 min 37 s |
Is 32977 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32977 Ć· 7 = 4711) | 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 1) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32977 a prime number?
No. 32977 = Ć 673, so it is divisible by 7.
What are the factors of 32977?
1, 7, 49, 673, 4711, 32977.
What is 32977 in binary?
1000000011010001 (hexadecimal 80D1, octal 100321).
What is the square root of 32977?
About 181.5957, exactly 7ā673.
Is 32977 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 32977?
32977 is a happy number: repeatedly adding the squares of its digits reaches 1.