The number 96472
96472 is a composite number with 16 divisors. Its prime factorisation is × 31 × 389. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 248, 389, 778, 1556, 3112, 12059, 24118, 48236, 96472.
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How to work it out
- 1
96472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
96472 is composite. Its prime factorisation is
- 3
The divisors add up to 187200; without 96472 itself that is 90728, so 96472 is deficient (90728 is less than 96472). Euler's totient φ(96472) = 46560 numbers up to 96472 share no factor with it.
- 4
The digits of 96472 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96472 = 2^{3} \times 31 \times 389 \]96472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 187200 |
| Euler totient φ(n) | 46560 |
| Square | 9306846784 |
| Cube | 897850122946048 |
| Square root | 310.599420 (= 2√24118) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.6472 × |
96472 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand four hundred and seventy-two |
| Binary (base 2) | 10111100011011000 |
| Octal (base 8) | 274330 |
| Hexadecimal (base 16) | 178D8 |
| Base 3 | 11220100001 |
| As time | 96472 seconds = 26 h 47 min 52 s |
Is 96472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96472 ÷ 2 = 48236) | 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 (96472 ÷ 4 = 24118) | 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 | 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 (96472 ÷ 8 = 12059) | 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 2) | 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 96472 a prime number?
No. 96472 = × 31 × 389, so it is divisible by 2.
What are the factors of 96472?
1, 2, 4, 8, 31, 62, 124, 248, 389, 778, 1556, 3112, 12059, 24118, 48236, 96472.
What is 96472 in binary?
10111100011011000 (hexadecimal 178D8, octal 274330).
What is the square root of 96472?
About 310.5994, exactly 2√24118.
Is 96472 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 96472?
It is a composite number with 16 divisors.