The number 33007
33007 is a composite number with 4 divisors. Its prime factorisation is 13 × 2539. Divisors (4): 1, 13, 2539, 33007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33007: a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 2539, the product of two primes.
- 2
33007 is composite. Its prime factorisation is
- 3
The divisors add up to 35560; without 33007 itself that is 2553, so 33007 is deficient (2553 is less than 33007). Euler's totient φ(33007) = 30456 numbers up to 33007 share no factor with it.
- 4
The digits of 33007 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33007 = 13 \times 2539 \]
33007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 35560 |
| Euler totient φ(n) | 30456 |
| Square | 1089462049 |
| Cube | 35959873851343 |
| Square root | 181.678287 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.3007 × |
33007 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and seven |
| Binary (base 2) | 1000000011101111 |
| Octal (base 8) | 100357 |
| Hexadecimal (base 16) | 80EF |
| Base 3 | 1200021111 |
| As time | 33007 seconds = 9 h 10 min 7 s |
Is 33007 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | 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 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33007 a prime number?
No. 33007 = 13 × 2539, so it is divisible by 13.
What are the factors of 33007?
1, 13, 2539, 33007.
What is 33007 in binary?
1000000011101111 (hexadecimal 80EF, octal 100357).
What is the square root of 33007?
About 181.6783.
Is 33007 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33007?
33007 is a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 2539, the product of two primes.