The number 33913
33913 is a composite number with 4 divisors. Its prime factorisation is 11 × 3083. Divisors (4): 1, 11, 3083, 33913.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33913: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3083, the product of two primes.
- 2
33913 is composite. Its prime factorisation is
- 3
The divisors add up to 37008; without 33913 itself that is 3095, so 33913 is deficient (3095 is less than 33913). Euler's totient φ(33913) = 30820 numbers up to 33913 share no factor with it.
- 4
The digits of 33913 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33913 = 11 \times 3083 \]
33913 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 37008 |
| Euler totient φ(n) | 30820 |
| Square | 1150091569 |
| Cube | 39003055379497 |
| Square root | 184.154826 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3913 × |
33913 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and thirteen |
| Binary (base 2) | 1000010001111001 |
| Octal (base 8) | 102171 |
| Hexadecimal (base 16) | 8479 |
| Base 3 | 1201112001 |
| As time | 33913 seconds = 9 h 25 min 13 s |
Is 33913 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 5) | 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 1) | 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 | Yes (33913 ÷ 11 = 3083) | 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 33913 a prime number?
No. 33913 = 11 × 3083, so it is divisible by 11.
What are the factors of 33913?
1, 11, 3083, 33913.
What is 33913 in binary?
1000010001111001 (hexadecimal 8479, octal 102171).
What is the square root of 33913?
About 184.1548.
Is 33913 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33913?
33913 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3083, the product of two primes.