The number 23484
23484 is a composite number with 24 divisors. Its prime factorisation is × 3 × 19 × 103. Divisors (24): 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 103, 114, 206, 228, 309, 412 … 23484.
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How to work it out
- 1
What is special about 23484: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23484 is composite. Its prime factorisation is
- 3
The divisors add up to 58240; without 23484 itself that is 34756, so 23484 is abundant (34756 is more than 23484). Euler's totient φ(23484) = 7344 numbers up to 23484 share no factor with it.
- 4
The digits of 23484 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23484 = 2^{2} \times 3 \times 19 \times 103 \]23484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 58240 |
| Euler totient φ(n) | 7344 |
| Square | 551498256 |
| Cube | 12951385043904 |
| Square root | 153.244902 (= 2√5871) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.3484 × |
23484 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and eighty-four |
| Binary (base 2) | 101101110111100 |
| Octal (base 8) | 55674 |
| Hexadecimal (base 16) | 5BBC |
| Base 3 | 1012012210 |
| As time | 23484 seconds = 6 h 31 min 24 s |
Is 23484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23484 ÷ 2 = 11742) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23484 ÷ 3 = 7828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23484 ÷ 4 = 5871) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (23484 ÷ 6 = 3914) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (23484 ÷ 12 = 1957) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23484 a prime number?
No. 23484 = × 3 × 19 × 103, so it is divisible by 2.
What are the factors of 23484?
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 103, 114, 206, 228, 309, 412, 618, 1236, 1957, 3914, 5871, 7828, 11742, 23484.
What is 23484 in binary?
101101110111100 (hexadecimal 5BBC, octal 55674).
What is the square root of 23484?
About 153.2449, exactly 2√5871.
Is 23484 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 23484?
23484 is a happy number: repeatedly adding the squares of its digits reaches 1.