The number 23463
23463 is a composite number with 16 divisors. Its prime factorisation is × 11 × 79. Divisors (16): 1, 3, 9, 11, 27, 33, 79, 99, 237, 297, 711, 869, 2133, 2607, 7821, 23463.
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How to work it out
- 1
23463 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23463 is composite. Its prime factorisation is
- 3
The divisors add up to 38400; without 23463 itself that is 14937, so 23463 is deficient (14937 is less than 23463). Euler's totient φ(23463) = 14040 numbers up to 23463 share no factor with it.
- 4
The digits of 23463 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 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23463 = 3^{3} \times 11 \times 79 \]23463 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 38400 |
| Euler totient φ(n) | 14040 |
| Square | 550512369 |
| Cube | 12916671713847 |
| Square root | 153.176369 (= 3√2607) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.3463 × |
23463 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and sixty-three |
| Binary (base 2) | 101101110100111 |
| Octal (base 8) | 55647 |
| Hexadecimal (base 16) | 5BA7 |
| Base 3 | 1012012000 |
| As time | 23463 seconds = 6 h 31 min 3 s |
Is 23463 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 (23463 ÷ 3 = 7821) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23463 ÷ 9 = 2607) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (23463 ÷ 11 = 2133) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23463 a prime number?
No. 23463 = × 11 × 79, so it is divisible by 3.
What are the factors of 23463?
1, 3, 9, 11, 27, 33, 79, 99, 237, 297, 711, 869, 2133, 2607, 7821, 23463.
What is 23463 in binary?
101101110100111 (hexadecimal 5BA7, octal 55647).
What is the square root of 23463?
About 153.1764, exactly 3√2607.
Is 23463 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 23463?
It is a composite number with 16 divisors.