The number 23481
23481 is a composite number with 6 divisors. Its prime factorisation is × 2609. Divisors (6): 1, 3, 9, 2609, 7827, 23481.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23481: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23481 is composite. Its prime factorisation is
- 3
The divisors add up to 33930; without 23481 itself that is 10449, so 23481 is deficient (10449 is less than 23481). Euler's totient φ(23481) = 15648 numbers up to 23481 share no factor with it.
- 4
The digits of 23481 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
\[ 23481 = 3^{2} \times 2609 \]23481 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 33930 |
| Euler totient φ(n) | 15648 |
| Square | 551357361 |
| Cube | 12946422193641 |
| Square root | 153.235113 (= 3√2609) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.3481 × |
23481 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and eighty-one |
| Binary (base 2) | 101101110111001 |
| Octal (base 8) | 55671 |
| Hexadecimal (base 16) | 5BB9 |
| Base 3 | 1012012200 |
| As time | 23481 seconds = 6 h 31 min 21 s |
Is 23481 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 | Yes (23481 ÷ 3 = 7827) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23481 ÷ 9 = 2609) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23481 a prime number?
No. 23481 = × 2609, so it is divisible by 3.
What are the factors of 23481?
1, 3, 9, 2609, 7827, 23481.
What is 23481 in binary?
101101110111001 (hexadecimal 5BB9, octal 55671).
What is the square root of 23481?
About 153.2351, exactly 3√2609.
Is 23481 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 23481?
23481 is a happy number: repeatedly adding the squares of its digits reaches 1.