The number 24472
24472 is a composite number with 32 divisors. Its prime factorisation is × 7 × 19 × 23. Divisors (32): 1, 2, 4, 7, 8, 14, 19, 23, 28, 38, 46, 56, 76, 92, 133, 152 … 24472.
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How to work it out
- 1
What is special about 24472: a Harshad number: divisible by its digit sum 19.
- 2
24472 is composite. Its prime factorisation is
- 3
The divisors add up to 57600; without 24472 itself that is 33128, so 24472 is abundant (33128 is more than 24472). Euler's totient φ(24472) = 9504 numbers up to 24472 share no factor with it.
- 4
The digits of 24472 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24472 = 2^{3} \times 7 \times 19 \times 23 \]24472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 57600 |
| Euler totient φ(n) | 9504 |
| Square | 598878784 |
| Cube | 14655761602048 |
| Square root | 156.435290 (= 2√6118) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4472 × |
24472 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand four hundred and seventy-two |
| Binary (base 2) | 101111110011000 |
| Octal (base 8) | 57630 |
| Hexadecimal (base 16) | 5F98 |
| Base 3 | 1020120101 |
| As time | 24472 seconds = 6 h 47 min 52 s |
Is 24472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24472 ÷ 2 = 12236) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24472 ÷ 4 = 6118) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24472 ÷ 7 = 3496) | 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 (24472 ÷ 8 = 3059) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24472 a prime number?
No. 24472 = × 7 × 19 × 23, so it is divisible by 2.
What are the factors of 24472?
1, 2, 4, 7, 8, 14, 19, 23, 28, 38, 46, 56, 76, 92, 133, 152, 161, 184, 266, 322, 437, 532, 644, 874, 1064, 1288, 1748, 3059, 3496, 6118, 12236, 24472.
What is 24472 in binary?
101111110011000 (hexadecimal 5F98, octal 57630).
What is the square root of 24472?
About 156.4353, exactly 2√6118.
Is 24472 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 24472?
24472 is a Harshad number: divisible by its digit sum 19.