The number 10033
10033 is a composite number with 4 divisors. Its prime factorisation is 79 × 127. Divisors (4): 1, 79, 127, 10033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10033: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 79 × 127, the product of two primes.
- 2
10033 is composite. Its prime factorisation is
- 3
The divisors add up to 10240; without 10033 itself that is 207, so 10033 is deficient (207 is less than 10033). Euler's totient φ(10033) = 9828 numbers up to 10033 share no factor with it.
- 4
The digits of 10033 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10033 = 79 \times 127 \]
10033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10240 |
| Euler totient φ(n) | 9828 |
| Square | 100661089 |
| Cube | 1009932705937 |
| Square root | 100.164864 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0033 × |
10033 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and thirty-three |
| Binary (base 2) | 10011100110001 |
| Octal (base 8) | 23461 |
| Hexadecimal (base 16) | 2731 |
| Base 3 | 111202121 |
| As time | 10033 seconds = 2 h 47 min 13 s |
Is 10033 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 1) | 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 | 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 1) | 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 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10033 a prime number?
No. 10033 = 79 × 127, so it is divisible by 79.
What are the factors of 10033?
1, 79, 127, 10033.
What is 10033 in binary?
10011100110001 (hexadecimal 2731, octal 23461).
What is the square root of 10033?
About 100.1649.
Is 10033 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 10033?
10033 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 79 × 127, the product of two primes.