The number 33978
33978 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 809. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 809, 1618, 2427, 4854, 5663, 11326, 16989, 33978.
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How to work it out
- 1
33978 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33978 is composite. Its prime factorisation is
- 3
The divisors add up to 77760; without 33978 itself that is 43782, so 33978 is abundant (43782 is more than 33978). Euler's totient φ(33978) = 9696 numbers up to 33978 share no factor with it.
- 4
The digits of 33978 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33978 = 2 \times 3 \times 7 \times 809 \]
33978 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 77760 |
| Euler totient φ(n) | 9696 |
| Square | 1154504484 |
| Cube | 39227753357352 |
| Square root | 184.331224 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 3.3978 × |
33978 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and seventy-eight |
| Binary (base 2) | 1000010010111010 |
| Octal (base 8) | 102272 |
| Hexadecimal (base 16) | 84BA |
| Base 3 | 1201121110 |
| As time | 33978 seconds = 9 h 26 min 18 s |
Is 33978 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33978 ÷ 2 = 16989) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33978 ÷ 3 = 11326) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (33978 ÷ 6 = 5663) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (33978 ÷ 7 = 4854) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33978 a prime number?
No. 33978 = 2 × 3 × 7 × 809, so it is divisible by 2.
What are the factors of 33978?
1, 2, 3, 6, 7, 14, 21, 42, 809, 1618, 2427, 4854, 5663, 11326, 16989, 33978.
What is 33978 in binary?
1000010010111010 (hexadecimal 84BA, octal 102272).
What is the square root of 33978?
About 184.3312.
Is 33978 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 33978?
It is a composite number with 16 divisors.