The number 23313
23313 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 409. Divisors (8): 1, 3, 19, 57, 409, 1227, 7771, 23313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23313: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23313 is composite. Its prime factorisation is
- 3
The divisors add up to 32800; without 23313 itself that is 9487, so 23313 is deficient (9487 is less than 23313). Euler's totient φ(23313) = 14688 numbers up to 23313 share no factor with it.
- 4
The digits of 23313 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 113 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23313 = 3 \times 19 \times 409 \]
23313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32800 |
| Euler totient φ(n) | 14688 |
| Square | 543495969 |
| Cube | 12670521525297 |
| Square root | 152.685952 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 113 |
| Scientific notation | 2.3313 × |
23313 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and thirteen |
| Binary (base 2) | 101101100010001 |
| Octal (base 8) | 55421 |
| Hexadecimal (base 16) | 5B11 |
| Base 3 | 1011222110 |
| As time | 23313 seconds = 6 h 28 min 33 s |
Is 23313 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 | Yes (23313 ÷ 3 = 7771) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23313 a prime number?
No. 23313 = 3 × 19 × 409, so it is divisible by 3.
What are the factors of 23313?
1, 3, 19, 57, 409, 1227, 7771, 23313.
What is 23313 in binary?
101101100010001 (hexadecimal 5B11, octal 55421).
What is the square root of 23313?
About 152.6860.
Is 23313 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 23313?
23313 is a happy number: repeatedly adding the squares of its digits reaches 1.