The number 32572
32572 is a composite number with 12 divisors. Its prime factorisation is × 17 × 479. Divisors (12): 1, 2, 4, 17, 34, 68, 479, 958, 1916, 8143, 16286, 32572.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32572: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32572 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 32572 itself that is 27908, so 32572 is deficient (27908 is less than 32572). Euler's totient φ(32572) = 15296 numbers up to 32572 share no factor with it.
- 4
The digits of 32572 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 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32572 = 2^{2} \times 17 \times 479 \]32572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 15296 |
| Square | 1060935184 |
| Cube | 34556780813248 |
| Square root | 180.477145 (= 2√8143) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2572 × |
32572 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand five hundred and seventy-two |
| Binary (base 2) | 111111100111100 |
| Octal (base 8) | 77474 |
| Hexadecimal (base 16) | 7F3C |
| Base 3 | 1122200101 |
| As time | 32572 seconds = 9 h 2 min 52 s |
Is 32572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32572 ÷ 2 = 16286) | 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 (32572 ÷ 4 = 8143) | 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 1) | 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 | No (remainder 4) | 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 1) | 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 32572 a prime number?
No. 32572 = × 17 × 479, so it is divisible by 2.
What are the factors of 32572?
1, 2, 4, 17, 34, 68, 479, 958, 1916, 8143, 16286, 32572.
What is 32572 in binary?
111111100111100 (hexadecimal 7F3C, octal 77474).
What is the square root of 32572?
About 180.4771, exactly 2√8143.
Is 32572 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 32572?
32572 is a happy number: repeatedly adding the squares of its digits reaches 1.