The number 17472
17472 is a composite number with 56 divisors. Its prime factorisation is × 3 × 7 × 13. Divisors (56): 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32 … 17472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17472: a Harshad number: divisible by its digit sum 21.
- 2
17472 is composite. Its prime factorisation is
- 3
The divisors add up to 56896; without 17472 itself that is 39424, so 17472 is abundant (39424 is more than 17472). Euler's totient φ(17472) = 4608 numbers up to 17472 share no factor with it.
- 4
The digits of 17472 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 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17472 = 2^{6} \times 3 \times 7 \times 13 \]17472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 56896 |
| Euler totient φ(n) | 4608 |
| Square | 305270784 |
| Cube | 5333691138048 |
| Square root | 132.181693 (= 8√273) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.7472 × |
17472 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and seventy-two |
| Binary (base 2) | 100010001000000 |
| Octal (base 8) | 42100 |
| Hexadecimal (base 16) | 4440 |
| Base 3 | 212222010 |
| As time | 17472 seconds = 4 h 51 min 12 s |
Is 17472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17472 ÷ 2 = 8736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17472 ÷ 3 = 5824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17472 ÷ 4 = 4368) | 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 (17472 ÷ 6 = 2912) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (17472 ÷ 7 = 2496) | 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 (17472 ÷ 8 = 2184) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (17472 ÷ 12 = 1456) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17472 a prime number?
No. 17472 = × 3 × 7 × 13, so it is divisible by 2.
What are the factors of 17472?
1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 64, 78, 84, 91, 96, 104, 112, 156, 168, 182, 192, 208, 224, 273, 312, 336, 364, 416, 448, 546, 624, 672, 728, 832, 1092, 1248, 1344, 1456, 2184, 2496, 2912, 4368, 5824, 8736, 17472.
What is 17472 in binary?
100010001000000 (hexadecimal 4440, octal 42100).
What is the square root of 17472?
About 132.1817, exactly 8√273.
Is 17472 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 17472?
17472 is a Harshad number: divisible by its digit sum 21.