The number 95472
95472 is a composite number with 80 divisors. Its prime factorisation is × × 13 × 17. Divisors (80): 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 17, 18, 24, 26, 27, 34 … 95472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 95472: a Harshad number: divisible by its digit sum 27.
- 2
95472 is composite. Its prime factorisation is
- 3
The divisors add up to 312480; without 95472 itself that is 217008, so 95472 is abundant (217008 is more than 95472). Euler's totient φ(95472) = 27648 numbers up to 95472 share no factor with it.
- 4
The digits of 95472 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 95472 = 2^{4} \times 3^{3} \times 13 \times 17 \]95472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 312480 |
| Euler totient φ(n) | 27648 |
| Square | 9114902784 |
| Cube | 870217998594048 |
| Square root | 308.985437 (= 12√663) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.5472 × |
95472 in other forms
| Form | Value |
|---|---|
| In words | ninety-five thousand four hundred and seventy-two |
| Binary (base 2) | 10111010011110000 |
| Octal (base 8) | 272360 |
| Hexadecimal (base 16) | 174F0 |
| Base 3 | 11211222000 |
| As time | 95472 seconds = 26 h 31 min 12 s |
Is 95472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (95472 ÷ 2 = 47736) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (95472 ÷ 3 = 31824) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (95472 ÷ 4 = 23868) | 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 (95472 ÷ 6 = 15912) | 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 | Yes (95472 ÷ 8 = 11934) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (95472 ÷ 9 = 10608) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (95472 ÷ 12 = 7956) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 95472 a prime number?
No. 95472 = × × 13 × 17, so it is divisible by 2.
What are the factors of 95472?
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 17, 18, 24, 26, 27, 34, 36, 39, 48, 51, 52, 54, 68, 72, 78, 102, 104, 108, 117, 136, 144, 153, 156, 204, 208, 216, 221, 234, 272, 306, 312, 351, 408, 432, 442, 459, 468, 612, 624, 663, 702, 816, 884, 918, 936, 1224, 1326, 1404, 1768, 1836, 1872, 1989, 2448, 2652, 2808, 3536, 3672, 3978, 5304, 5616, 5967, 7344, 7956, 10608, 11934, 15912, 23868, 31824, 47736, 95472.
What is 95472 in binary?
10111010011110000 (hexadecimal 174F0, octal 272360).
What is the square root of 95472?
About 308.9854, exactly 12√663.
Is 95472 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 95472?
95472 is a Harshad number: divisible by its digit sum 27.