The number 15672
15672 is a composite number with 16 divisors. Its prime factorisation is × 3 × 653. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 653, 1306, 1959, 2612, 3918, 5224, 7836, 15672.
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How to work it out
- 1
15672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15672 is composite. Its prime factorisation is
- 3
The divisors add up to 39240; without 15672 itself that is 23568, so 15672 is abundant (23568 is more than 15672). Euler's totient φ(15672) = 5216 numbers up to 15672 share no factor with it.
- 4
The digits of 15672 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15672 = 2^{3} \times 3 \times 653 \]15672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 39240 |
| Euler totient φ(n) | 5216 |
| Square | 245611584 |
| Cube | 3849224744448 |
| Square root | 125.187859 (= 2√3918) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.5672 × |
15672 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand six hundred and seventy-two |
| Binary (base 2) | 11110100111000 |
| Octal (base 8) | 36470 |
| Hexadecimal (base 16) | 3D38 |
| Base 3 | 210111110 |
| As time | 15672 seconds = 4 h 21 min 12 s |
Is 15672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15672 ÷ 2 = 7836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15672 ÷ 3 = 5224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15672 ÷ 4 = 3918) | 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 (15672 ÷ 6 = 2612) | 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 | Yes (15672 ÷ 8 = 1959) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15672 ÷ 12 = 1306) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15672 a prime number?
No. 15672 = × 3 × 653, so it is divisible by 2.
What are the factors of 15672?
1, 2, 3, 4, 6, 8, 12, 24, 653, 1306, 1959, 2612, 3918, 5224, 7836, 15672.
What is 15672 in binary?
11110100111000 (hexadecimal 3D38, octal 36470).
What is the square root of 15672?
About 125.1879, exactly 2√3918.
Is 15672 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 15672?
It is a composite number with 16 divisors.