The number 23960
23960 is a composite number with 16 divisors. Its prime factorisation is × 5 × 599. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 599, 1198, 2396, 2995, 4792, 5990, 11980, 23960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23960: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.
- 2
23960 is composite. Its prime factorisation is
- 3
The divisors add up to 54000; without 23960 itself that is 30040, so 23960 is abundant (30040 is more than 23960). Euler's totient φ(23960) = 9568 numbers up to 23960 share no factor with it.
- 4
The digits of 23960 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23960 = 2^{3} \times 5 \times 599 \]23960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 54000 |
| Euler totient φ(n) | 9568 |
| Square | 574081600 |
| Cube | 13754995136000 |
| Square root | 154.790181 (= 2√5990) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.396 × |
23960 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and sixty |
| Binary (base 2) | 101110110011000 |
| Octal (base 8) | 56630 |
| Hexadecimal (base 16) | 5D98 |
| Base 3 | 1012212102 |
| As time | 23960 seconds = 6 h 39 min 20 s |
Is 23960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23960 ÷ 2 = 11980) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23960 ÷ 4 = 5990) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23960 ÷ 5 = 4792) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (23960 ÷ 8 = 2995) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23960 ÷ 10 = 2396) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23960 a prime number?
No. 23960 = × 5 × 599, so it is divisible by 2.
What are the factors of 23960?
1, 2, 4, 5, 8, 10, 20, 40, 599, 1198, 2396, 2995, 4792, 5990, 11980, 23960.
What is 23960 in binary?
101110110011000 (hexadecimal 5D98, octal 56630).
What is the square root of 23960?
About 154.7902, exactly 2√5990.
Is 23960 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 23960?
23960 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.