The number 23413
23413 is a composite number with 4 divisors. Its prime factorisation is 13 × 1801. Divisors (4): 1, 13, 1801, 23413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23413: a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 1801, the product of two primes.
- 2
23413 is composite. Its prime factorisation is
- 3
The divisors add up to 25228; without 23413 itself that is 1815, so 23413 is deficient (1815 is less than 23413). Euler's totient φ(23413) = 21600 numbers up to 23413 share no factor with it.
- 4
The digits of 23413 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 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23413 = 13 \times 1801 \]
23413 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 25228 |
| Euler totient φ(n) | 21600 |
| Square | 548168569 |
| Cube | 12834270705997 |
| Square root | 153.013071 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.3413 × |
23413 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and thirteen |
| Binary (base 2) | 101101101110101 |
| Octal (base 8) | 55565 |
| Hexadecimal (base 16) | 5B75 |
| Base 3 | 1012010011 |
| As time | 23413 seconds = 6 h 30 min 13 s |
Is 23413 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 23413 a prime number?
No. 23413 = 13 × 1801, so it is divisible by 13.
What are the factors of 23413?
1, 13, 1801, 23413.
What is 23413 in binary?
101101101110101 (hexadecimal 5B75, octal 55565).
What is the square root of 23413?
About 153.0131.
Is 23413 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 23413?
23413 is a Harshad number: divisible by its digit sum 13; a semiprime: 13 × 1801, the product of two primes.