The number 23508
23508 is a composite number with 18 divisors. Its prime factorisation is × × 653. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 653, 1306, 1959, 2612, 3918, 5877, 7836 … 23508.
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How to work it out
- 1
What is special about 23508: a Harshad number: divisible by its digit sum 18.
- 2
23508 is composite. Its prime factorisation is
- 3
The divisors add up to 59514; without 23508 itself that is 36006, so 23508 is abundant (36006 is more than 23508). Euler's totient φ(23508) = 7824 numbers up to 23508 share no factor with it.
- 4
The digits of 23508 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23508 = 2^{2} \times 3^{2} \times 653 \]23508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 59514 |
| Euler totient φ(n) | 7824 |
| Square | 552626064 |
| Cube | 12991133512512 |
| Square root | 153.323188 (= 6√653) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.3508 × |
23508 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand five hundred and eight |
| Binary (base 2) | 101101111010100 |
| Octal (base 8) | 55724 |
| Hexadecimal (base 16) | 5BD4 |
| Base 3 | 1012020200 |
| As time | 23508 seconds = 6 h 31 min 48 s |
Is 23508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23508 ÷ 2 = 11754) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23508 ÷ 3 = 7836) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23508 ÷ 4 = 5877) | 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 | Yes (23508 ÷ 6 = 3918) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23508 ÷ 9 = 2612) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (23508 ÷ 12 = 1959) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23508 a prime number?
No. 23508 = × × 653, so it is divisible by 2.
What are the factors of 23508?
1, 2, 3, 4, 6, 9, 12, 18, 36, 653, 1306, 1959, 2612, 3918, 5877, 7836, 11754, 23508.
What is 23508 in binary?
101101111010100 (hexadecimal 5BD4, octal 55724).
What is the square root of 23508?
About 153.3232, exactly 6√653.
Is 23508 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 23508?
23508 is a Harshad number: divisible by its digit sum 18.