The number 23472
23472 is a composite number with 30 divisors. Its prime factorisation is × × 163. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 163 … 23472.
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How to work it out
- 1
What is special about 23472: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
23472 is composite. Its prime factorisation is
- 3
The divisors add up to 66092; without 23472 itself that is 42620, so 23472 is abundant (42620 is more than 23472). Euler's totient φ(23472) = 7776 numbers up to 23472 share no factor with it.
- 4
The digits of 23472 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 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23472 = 2^{4} \times 3^{2} \times 163 \]23472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 66092 |
| Euler totient φ(n) | 7776 |
| Square | 550934784 |
| Cube | 12931541250048 |
| Square root | 153.205744 (= 12√163) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.3472 × |
23472 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and seventy-two |
| Binary (base 2) | 101101110110000 |
| Octal (base 8) | 55660 |
| Hexadecimal (base 16) | 5BB0 |
| Base 3 | 1012012100 |
| As time | 23472 seconds = 6 h 31 min 12 s |
Is 23472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23472 ÷ 2 = 11736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23472 ÷ 3 = 7824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23472 ÷ 4 = 5868) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (23472 ÷ 6 = 3912) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (23472 ÷ 8 = 2934) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (23472 ÷ 9 = 2608) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (23472 ÷ 12 = 1956) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23472 a prime number?
No. 23472 = × × 163, so it is divisible by 2.
What are the factors of 23472?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 163, 326, 489, 652, 978, 1304, 1467, 1956, 2608, 2934, 3912, 5868, 7824, 11736, 23472.
What is 23472 in binary?
101101110110000 (hexadecimal 5BB0, octal 55660).
What is the square root of 23472?
About 153.2057, exactly 12√163.
Is 23472 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 23472?
23472 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.