The number 12948
12948 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 83. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 83, 156, 166, 249, 332 … 12948.
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How to work it out
- 1
12948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12948 is composite. Its prime factorisation is
- 3
The divisors add up to 32928; without 12948 itself that is 19980, so 12948 is abundant (19980 is more than 12948). Euler's totient φ(12948) = 3936 numbers up to 12948 share no factor with it.
- 4
The digits of 12948 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12948 = 2^{2} \times 3 \times 13 \times 83 \]12948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 32928 |
| Euler totient φ(n) | 3936 |
| Square | 167650704 |
| Cube | 2170741315392 |
| Square root | 113.789279 (= 2√3237) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.2948 × |
12948 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand nine hundred and forty-eight |
| Binary (base 2) | 11001010010100 |
| Octal (base 8) | 31224 |
| Hexadecimal (base 16) | 3294 |
| Base 3 | 122202120 |
| As time | 12948 seconds = 3 h 35 min 48 s |
Is 12948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12948 ÷ 2 = 6474) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (12948 ÷ 3 = 4316) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (12948 ÷ 4 = 3237) | 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 (12948 ÷ 6 = 2158) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (12948 ÷ 12 = 1079) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12948 a prime number?
No. 12948 = × 3 × 13 × 83, so it is divisible by 2.
What are the factors of 12948?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 83, 156, 166, 249, 332, 498, 996, 1079, 2158, 3237, 4316, 6474, 12948.
What is 12948 in binary?
11001010010100 (hexadecimal 3294, octal 31224).
What is the square root of 12948?
About 113.7893, exactly 2√3237.
Is 12948 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 12948?
It is a composite number with 24 divisors.