The number 63472
63472 is a composite number with 10 divisors. Its prime factorisation is × 3967. Divisors (10): 1, 2, 4, 8, 16, 3967, 7934, 15868, 31736, 63472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
63472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
63472 is composite. Its prime factorisation is
- 3
The divisors add up to 123008; without 63472 itself that is 59536, so 63472 is deficient (59536 is less than 63472). Euler's totient φ(63472) = 31728 numbers up to 63472 share no factor with it.
- 4
The digits of 63472 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 63472 = 2^{4} \times 3967 \]63472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 123008 |
| Euler totient φ(n) | 31728 |
| Square | 4028694784 |
| Cube | 255709315330048 |
| Square root | 251.936500 (= 4√3967) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.3472 × |
63472 in other forms
| Form | Value |
|---|---|
| In words | sixty-three thousand four hundred and seventy-two |
| Binary (base 2) | 1111011111110000 |
| Octal (base 8) | 173760 |
| Hexadecimal (base 16) | F7F0 |
| Base 3 | 10020001211 |
| As time | 63472 seconds = 17 h 37 min 52 s |
Is 63472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (63472 ÷ 2 = 31736) | 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 (63472 ÷ 4 = 15868) | 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 3) | 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 (63472 ÷ 8 = 7934) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 63472 a prime number?
No. 63472 = × 3967, so it is divisible by 2.
What are the factors of 63472?
1, 2, 4, 8, 16, 3967, 7934, 15868, 31736, 63472.
What is 63472 in binary?
1111011111110000 (hexadecimal F7F0, octal 173760).
What is the square root of 63472?
About 251.9365, exactly 4√3967.
Is 63472 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 63472?
It is a composite number with 10 divisors.