The number 33130
33130 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 3313. Divisors (8): 1, 2, 5, 10, 3313, 6626, 16565, 33130.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33130: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.
- 2
33130 is composite. Its prime factorisation is
- 3
The divisors add up to 59652; without 33130 itself that is 26522, so 33130 is deficient (26522 is less than 33130). Euler's totient φ(33130) = 13248 numbers up to 33130 share no factor with it.
- 4
The digits of 33130 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33130 = 2 \times 5 \times 3313 \]
33130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59652 |
| Euler totient φ(n) | 13248 |
| Square | 1097596900 |
| Cube | 36363385297000 |
| Square root | 182.016483 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.313 × |
33130 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand one hundred and thirty |
| Binary (base 2) | 1000000101101010 |
| Octal (base 8) | 100552 |
| Hexadecimal (base 16) | 816A |
| Base 3 | 1200110001 |
| As time | 33130 seconds = 9 h 12 min 10 s |
Is 33130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33130 ÷ 2 = 16565) | 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 (33130 ÷ 5 = 6626) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (33130 ÷ 10 = 3313) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 33130 a prime number?
No. 33130 = 2 × 5 × 3313, so it is divisible by 2.
What are the factors of 33130?
1, 2, 5, 10, 3313, 6626, 16565, 33130.
What is 33130 in binary?
1000000101101010 (hexadecimal 816A, octal 100552).
What is the square root of 33130?
About 182.0165.
Is 33130 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 33130?
33130 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 10.