The number 15948
15948 is a composite number with 18 divisors. Its prime factorisation is × × 443. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 443, 886, 1329, 1772, 2658, 3987, 5316 … 15948.
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How to work it out
- 1
15948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15948 is composite. Its prime factorisation is
- 3
The divisors add up to 40404; without 15948 itself that is 24456, so 15948 is abundant (24456 is more than 15948). Euler's totient φ(15948) = 5304 numbers up to 15948 share no factor with it.
- 4
The digits of 15948 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15948 = 2^{2} \times 3^{2} \times 443 \]15948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 40404 |
| Euler totient φ(n) | 5304 |
| Square | 254338704 |
| Cube | 4056193651392 |
| Square root | 126.285391 (= 6√443) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.5948 × |
15948 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand nine hundred and forty-eight |
| Binary (base 2) | 11111001001100 |
| Octal (base 8) | 37114 |
| Hexadecimal (base 16) | 3E4C |
| Base 3 | 210212200 |
| As time | 15948 seconds = 4 h 25 min 48 s |
Is 15948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15948 ÷ 2 = 7974) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15948 ÷ 3 = 5316) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15948 ÷ 4 = 3987) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15948 ÷ 6 = 2658) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (15948 ÷ 9 = 1772) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 (15948 ÷ 12 = 1329) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15948 a prime number?
No. 15948 = × × 443, so it is divisible by 2.
What are the factors of 15948?
1, 2, 3, 4, 6, 9, 12, 18, 36, 443, 886, 1329, 1772, 2658, 3987, 5316, 7974, 15948.
What is 15948 in binary?
11111001001100 (hexadecimal 3E4C, octal 37114).
What is the square root of 15948?
About 126.2854, exactly 6√443.
Is 15948 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 15948?
It is a composite number with 18 divisors.