The number 23013
23013 is a composite number with 6 divisors. Its prime factorisation is × 2557. Divisors (6): 1, 3, 9, 2557, 7671, 23013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23013: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
23013 is composite. Its prime factorisation is
- 3
The divisors add up to 33254; without 23013 itself that is 10241, so 23013 is deficient (10241 is less than 23013). Euler's totient φ(23013) = 15336 numbers up to 23013 share no factor with it.
- 4
The digits of 23013 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23013 = 3^{2} \times 2557 \]23013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 33254 |
| Euler totient φ(n) | 15336 |
| Square | 529598169 |
| Cube | 12187642663197 |
| Square root | 151.700363 (= 3√2557) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.3013 × |
23013 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and thirteen |
| Binary (base 2) | 101100111100101 |
| Octal (base 8) | 54745 |
| Hexadecimal (base 16) | 59E5 |
| Base 3 | 1011120100 |
| As time | 23013 seconds = 6 h 23 min 33 s |
Is 23013 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 (23013 ÷ 3 = 7671) | 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 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23013 ÷ 9 = 2557) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23013 a prime number?
No. 23013 = × 2557, so it is divisible by 3.
What are the factors of 23013?
1, 3, 9, 2557, 7671, 23013.
What is 23013 in binary?
101100111100101 (hexadecimal 59E5, octal 54745).
What is the square root of 23013?
About 151.7004, exactly 3√2557.
Is 23013 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 23013?
23013 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.