The number 23998
23998 is a composite number with 12 divisors. Its prime factorisation is 2 × × 71. Divisors (12): 1, 2, 13, 26, 71, 142, 169, 338, 923, 1846, 11999, 23998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23998: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23998 is composite. Its prime factorisation is
- 3
The divisors add up to 39528; without 23998 itself that is 15530, so 23998 is deficient (15530 is less than 23998). Euler's totient φ(23998) = 10920 numbers up to 23998 share no factor with it.
- 4
The digits of 23998 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 188 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23998 = 2 \times 13^{2} \times 71 \]23998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 39528 |
| Euler totient φ(n) | 10920 |
| Square | 575904004 |
| Cube | 13820544287992 |
| Square root | 154.912879 (= 13√142) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 188 |
| Scientific notation | 2.3998 × |
23998 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and ninety-eight |
| Binary (base 2) | 101110110111110 |
| Octal (base 8) | 56676 |
| Hexadecimal (base 16) | 5DBE |
| Base 3 | 1012220211 |
| As time | 23998 seconds = 6 h 39 min 58 s |
Is 23998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23998 ÷ 2 = 11999) | 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 2) | 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 4) | 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 6) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23998 a prime number?
No. 23998 = 2 × × 71, so it is divisible by 2.
What are the factors of 23998?
1, 2, 13, 26, 71, 142, 169, 338, 923, 1846, 11999, 23998.
What is 23998 in binary?
101110110111110 (hexadecimal 5DBE, octal 56676).
What is the square root of 23998?
About 154.9129, exactly 13√142.
Is 23998 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 23998?
23998 is a happy number: repeatedly adding the squares of its digits reaches 1.