The number 33970
33970 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 43 × 79. Divisors (16): 1, 2, 5, 10, 43, 79, 86, 158, 215, 395, 430, 790, 3397, 6794, 16985, 33970.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33970 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33970 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 33970 itself that is 29390, so 33970 is deficient (29390 is less than 33970). Euler's totient φ(33970) = 13104 numbers up to 33970 share no factor with it.
- 4
The digits of 33970 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33970 = 2 \times 5 \times 43 \times 79 \]
33970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 13104 |
| Square | 1153960900 |
| Cube | 39200051773000 |
| Square root | 184.309522 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.397 × |
33970 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and seventy |
| Binary (base 2) | 1000010010110010 |
| Octal (base 8) | 102262 |
| Hexadecimal (base 16) | 84B2 |
| Base 3 | 1201121011 |
| As time | 33970 seconds = 9 h 26 min 10 s |
Is 33970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33970 ÷ 2 = 16985) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (33970 ÷ 5 = 6794) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33970 ÷ 10 = 3397) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33970 a prime number?
No. 33970 = 2 × 5 × 43 × 79, so it is divisible by 2.
What are the factors of 33970?
1, 2, 5, 10, 43, 79, 86, 158, 215, 395, 430, 790, 3397, 6794, 16985, 33970.
What is 33970 in binary?
1000010010110010 (hexadecimal 84B2, octal 102262).
What is the square root of 33970?
About 184.3095.
Is 33970 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 33970?
It is a composite number with 16 divisors.