The number 33977
33977 is a composite number with 4 divisors. Its prime factorisation is 61 × 557. Divisors (4): 1, 61, 557, 33977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33977: a semiprime: 61 × 557, the product of two primes.
- 2
33977 is composite. Its prime factorisation is
- 3
The divisors add up to 34596; without 33977 itself that is 619, so 33977 is deficient (619 is less than 33977). Euler's totient φ(33977) = 33360 numbers up to 33977 share no factor with it.
- 4
The digits of 33977 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 204 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33977 = 61 \times 557 \]
33977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 34596 |
| Euler totient φ(n) | 33360 |
| Square | 1154436529 |
| Cube | 39224289945833 |
| Square root | 184.328511 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 204 |
| Scientific notation | 3.3977 × |
33977 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and seventy-seven |
| Binary (base 2) | 1000010010111001 |
| Octal (base 8) | 102271 |
| Hexadecimal (base 16) | 84B9 |
| Base 3 | 1201121102 |
| As time | 33977 seconds = 9 h 26 min 17 s |
Is 33977 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 2) | 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 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 33977 a prime number?
No. 33977 = 61 × 557, so it is divisible by 61.
What are the factors of 33977?
1, 61, 557, 33977.
What is 33977 in binary?
1000010010111001 (hexadecimal 84B9, octal 102271).
What is the square root of 33977?
About 184.3285.
Is 33977 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 33977?
33977 is a semiprime: 61 × 557, the product of two primes.