The number 23448
23448 is a composite number with 16 divisors. Its prime factorisation is × 3 × 977. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 977, 1954, 2931, 3908, 5862, 7816, 11724, 23448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23448: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23448 is composite. Its prime factorisation is
- 3
The divisors add up to 58680; without 23448 itself that is 35232, so 23448 is abundant (35232 is more than 23448). Euler's totient φ(23448) = 7808 numbers up to 23448 share no factor with it.
- 4
The digits of 23448 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23448 = 2^{3} \times 3 \times 977 \]23448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 58680 |
| Euler totient φ(n) | 7808 |
| Square | 549808704 |
| Cube | 12891914491392 |
| Square root | 153.127398 (= 2√5862) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.3448 × |
23448 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and forty-eight |
| Binary (base 2) | 101101110011000 |
| Octal (base 8) | 55630 |
| Hexadecimal (base 16) | 5B98 |
| Base 3 | 1012011110 |
| As time | 23448 seconds = 6 h 30 min 48 s |
Is 23448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23448 ÷ 2 = 11724) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23448 ÷ 3 = 7816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23448 ÷ 4 = 5862) | 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 (23448 ÷ 6 = 3908) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (23448 ÷ 8 = 2931) | 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 8) | 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 | Yes (23448 ÷ 12 = 1954) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23448 a prime number?
No. 23448 = × 3 × 977, so it is divisible by 2.
What are the factors of 23448?
1, 2, 3, 4, 6, 8, 12, 24, 977, 1954, 2931, 3908, 5862, 7816, 11724, 23448.
What is 23448 in binary?
101101110011000 (hexadecimal 5B98, octal 55630).
What is the square root of 23448?
About 153.1274, exactly 2√5862.
Is 23448 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 23448?
23448 is a happy number: repeatedly adding the squares of its digits reaches 1.