The number 33876
33876 is a composite number with 18 divisors. Its prime factorisation is × × 941. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 941, 1882, 2823, 3764, 5646, 8469, 11292 … 33876.
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How to work it out
- 1
What is special about 33876: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33876 is composite. Its prime factorisation is
- 3
The divisors add up to 85722; without 33876 itself that is 51846, so 33876 is abundant (51846 is more than 33876). Euler's totient φ(33876) = 11280 numbers up to 33876 share no factor with it.
- 4
The digits of 33876 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33876 = 2^{2} \times 3^{2} \times 941 \]33876 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 85722 |
| Euler totient φ(n) | 11280 |
| Square | 1147583376 |
| Cube | 38875534445376 |
| Square root | 184.054340 (= 6√941) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.3876 × |
33876 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and seventy-six |
| Binary (base 2) | 1000010001010100 |
| Octal (base 8) | 102124 |
| Hexadecimal (base 16) | 8454 |
| Base 3 | 1201110200 |
| As time | 33876 seconds = 9 h 24 min 36 s |
Is 33876 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33876 ÷ 2 = 16938) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33876 ÷ 3 = 11292) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33876 ÷ 4 = 8469) | 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 | Yes (33876 ÷ 6 = 5646) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33876 ÷ 9 = 3764) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33876 ÷ 12 = 2823) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33876 a prime number?
No. 33876 = × × 941, so it is divisible by 2.
What are the factors of 33876?
1, 2, 3, 4, 6, 9, 12, 18, 36, 941, 1882, 2823, 3764, 5646, 8469, 11292, 16938, 33876.
What is 33876 in binary?
1000010001010100 (hexadecimal 8454, octal 102124).
What is the square root of 33876?
About 184.0543, exactly 6√941.
Is 33876 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 33876?
33876 is a happy number: repeatedly adding the squares of its digits reaches 1.