The number 33976
33976 is a composite number with 16 divisors. Its prime factorisation is × 31 × 137. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 137, 248, 274, 548, 1096, 4247, 8494, 16988, 33976.
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How to work it out
- 1
33976 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33976 is composite. Its prime factorisation is
- 3
The divisors add up to 66240; without 33976 itself that is 32264, so 33976 is deficient (32264 is less than 33976). Euler's totient φ(33976) = 16320 numbers up to 33976 share no factor with it.
- 4
The digits of 33976 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33976 = 2^{3} \times 31 \times 137 \]33976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 66240 |
| Euler totient φ(n) | 16320 |
| Square | 1154368576 |
| Cube | 39220826738176 |
| Square root | 184.325799 (= 2√8494) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.3976 × |
33976 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and seventy-six |
| Binary (base 2) | 1000010010111000 |
| Octal (base 8) | 102270 |
| Hexadecimal (base 16) | 84B8 |
| Base 3 | 1201121101 |
| As time | 33976 seconds = 9 h 26 min 16 s |
Is 33976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33976 ÷ 2 = 16988) | 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 | Yes (33976 ÷ 4 = 8494) | 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 4) | 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 | Yes (33976 ÷ 8 = 4247) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33976 a prime number?
No. 33976 = × 31 × 137, so it is divisible by 2.
What are the factors of 33976?
1, 2, 4, 8, 31, 62, 124, 137, 248, 274, 548, 1096, 4247, 8494, 16988, 33976.
What is 33976 in binary?
1000010010111000 (hexadecimal 84B8, octal 102270).
What is the square root of 33976?
About 184.3258, exactly 2√8494.
Is 33976 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 33976?
It is a composite number with 16 divisors.