The number 13572
13572 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 29. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 29, 36, 39, 52, 58, 78 … 13572.
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How to work it out
- 1
What is special about 13572: a Harshad number: divisible by its digit sum 18.
- 2
13572 is composite. Its prime factorisation is
- 3
The divisors add up to 38220; without 13572 itself that is 24648, so 13572 is abundant (24648 is more than 13572). Euler's totient φ(13572) = 4032 numbers up to 13572 share no factor with it.
- 4
The digits of 13572 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13572 = 2^{2} \times 3^{2} \times 13 \times 29 \]13572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 38220 |
| Euler totient φ(n) | 4032 |
| Square | 184199184 |
| Cube | 2499951325248 |
| Square root | 116.498927 (= 6√377) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3572 × |
13572 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and seventy-two |
| Binary (base 2) | 11010100000100 |
| Octal (base 8) | 32404 |
| Hexadecimal (base 16) | 3504 |
| Base 3 | 200121200 |
| As time | 13572 seconds = 3 h 46 min 12 s |
Is 13572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13572 ÷ 2 = 6786) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13572 ÷ 3 = 4524) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13572 ÷ 4 = 3393) | 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 | Yes (13572 ÷ 6 = 2262) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (13572 ÷ 9 = 1508) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13572 ÷ 12 = 1131) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13572 a prime number?
No. 13572 = × × 13 × 29, so it is divisible by 2.
What are the factors of 13572?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 29, 36, 39, 52, 58, 78, 87, 116, 117, 156, 174, 234, 261, 348, 377, 468, 522, 754, 1044, 1131, 1508, 2262, 3393, 4524, 6786, 13572.
What is 13572 in binary?
11010100000100 (hexadecimal 3504, octal 32404).
What is the square root of 13572?
About 116.4989, exactly 6√377.
Is 13572 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13572?
13572 is a Harshad number: divisible by its digit sum 18.