The number 33472
33472 is a composite number with 14 divisors. Its prime factorisation is × 523. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 523, 1046, 2092, 4184, 8368, 16736, 33472.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33472 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33472 is composite. Its prime factorisation is
- 3
The divisors add up to 66548; without 33472 itself that is 33076, so 33472 is deficient (33076 is less than 33472). Euler's totient φ(33472) = 16704 numbers up to 33472 share no factor with it.
- 4
The digits of 33472 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33472 = 2^{6} \times 523 \]33472 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 66548 |
| Euler totient φ(n) | 16704 |
| Square | 1120374784 |
| Cube | 37501184770048 |
| Square root | 182.953546 (= 8√523) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3472 × |
33472 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and seventy-two |
| Binary (base 2) | 1000001011000000 |
| Octal (base 8) | 101300 |
| Hexadecimal (base 16) | 82C0 |
| Base 3 | 1200220201 |
| As time | 33472 seconds = 9 h 17 min 52 s |
Is 33472 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33472 ÷ 2 = 16736) | 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 (33472 ÷ 4 = 8368) | 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 (33472 ÷ 8 = 4184) | 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 10) | 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 33472 a prime number?
No. 33472 = × 523, so it is divisible by 2.
What are the factors of 33472?
1, 2, 4, 8, 16, 32, 64, 523, 1046, 2092, 4184, 8368, 16736, 33472.
What is 33472 in binary?
1000001011000000 (hexadecimal 82C0, octal 101300).
What is the square root of 33472?
About 182.9535, exactly 8√523.
Is 33472 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33472?
It is a composite number with 14 divisors.