The number 23572
23572 is a composite number with 12 divisors. Its prime factorisation is × 71 × 83. Divisors (12): 1, 2, 4, 71, 83, 142, 166, 284, 332, 5893, 11786, 23572.
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How to work it out
- 1
What is special about 23572: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
23572 is composite. Its prime factorisation is
- 3
The divisors add up to 42336; without 23572 itself that is 18764, so 23572 is deficient (18764 is less than 23572). Euler's totient φ(23572) = 11480 numbers up to 23572 share no factor with it.
- 4
The digits of 23572 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 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23572 = 2^{2} \times 71 \times 83 \]23572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42336 |
| Euler totient φ(n) | 11480 |
| Square | 555639184 |
| Cube | 13097526845248 |
| Square root | 153.531756 (= 2√5893) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 100 |
| Scientific notation | 2.3572 × |
23572 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand five hundred and seventy-two |
| Binary (base 2) | 101110000010100 |
| Octal (base 8) | 56024 |
| Hexadecimal (base 16) | 5C14 |
| Base 3 | 1012100001 |
| As time | 23572 seconds = 6 h 32 min 52 s |
Is 23572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23572 ÷ 2 = 11786) | 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 (23572 ÷ 4 = 5893) | 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 | 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 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 23572 a prime number?
No. 23572 = × 71 × 83, so it is divisible by 2.
What are the factors of 23572?
1, 2, 4, 71, 83, 142, 166, 284, 332, 5893, 11786, 23572.
What is 23572 in binary?
101110000010100 (hexadecimal 5C14, octal 56024).
What is the square root of 23572?
About 153.5318, exactly 2√5893.
Is 23572 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 23572?
23572 is a happy number: repeatedly adding the squares of its digits reaches 1.