The number 33370
33370 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 47 × 71. Divisors (16): 1, 2, 5, 10, 47, 71, 94, 142, 235, 355, 470, 710, 3337, 6674, 16685, 33370.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33370 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33370 is composite. Its prime factorisation is
- 3
The divisors add up to 62208; without 33370 itself that is 28838, so 33370 is deficient (28838 is less than 33370). Euler's totient φ(33370) = 12880 numbers up to 33370 share no factor with it.
- 4
The digits of 33370 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33370 = 2 \times 5 \times 47 \times 71 \]
33370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 62208 |
| Euler totient φ(n) | 12880 |
| Square | 1113556900 |
| Cube | 37159393753000 |
| Square root | 182.674574 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.337 × |
33370 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and seventy |
| Binary (base 2) | 1000001001011010 |
| Octal (base 8) | 101132 |
| Hexadecimal (base 16) | 825A |
| Base 3 | 1200202221 |
| As time | 33370 seconds = 9 h 16 min 10 s |
Is 33370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33370 ÷ 2 = 16685) | 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 (33370 ÷ 5 = 6674) | 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 1) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33370 ÷ 10 = 3337) | 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 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33370 a prime number?
No. 33370 = 2 × 5 × 47 × 71, so it is divisible by 2.
What are the factors of 33370?
1, 2, 5, 10, 47, 71, 94, 142, 235, 355, 470, 710, 3337, 6674, 16685, 33370.
What is 33370 in binary?
1000001001011010 (hexadecimal 825A, octal 101132).
What is the square root of 33370?
About 182.6746.
Is 33370 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33370?
It is a composite number with 16 divisors.