The number 23480
23480 is a composite number with 16 divisors. Its prime factorisation is × 5 × 587. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 587, 1174, 2348, 2935, 4696, 5870, 11740, 23480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23480 is composite. Its prime factorisation is
- 3
The divisors add up to 52920; without 23480 itself that is 29440, so 23480 is abundant (29440 is more than 23480). Euler's totient φ(23480) = 9376 numbers up to 23480 share no factor with it.
- 4
The digits of 23480 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23480 = 2^{3} \times 5 \times 587 \]23480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 52920 |
| Euler totient φ(n) | 9376 |
| Square | 551310400 |
| Cube | 12944768192000 |
| Square root | 153.231850 (= 2√5870) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.348 × |
23480 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and eighty |
| Binary (base 2) | 101101110111000 |
| Octal (base 8) | 55670 |
| Hexadecimal (base 16) | 5BB8 |
| Base 3 | 1012012122 |
| As time | 23480 seconds = 6 h 31 min 20 s |
Is 23480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23480 ÷ 2 = 11740) | 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 (23480 ÷ 4 = 5870) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23480 ÷ 5 = 4696) | 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 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 | Yes (23480 ÷ 8 = 2935) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23480 ÷ 10 = 2348) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 23480 a prime number?
No. 23480 = × 5 × 587, so it is divisible by 2.
What are the factors of 23480?
1, 2, 4, 5, 8, 10, 20, 40, 587, 1174, 2348, 2935, 4696, 5870, 11740, 23480.
What is 23480 in binary?
101101110111000 (hexadecimal 5BB8, octal 55670).
What is the square root of 23480?
About 153.2319, exactly 2√5870.
Is 23480 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 23480?
It is a composite number with 16 divisors.