The number 17948
17948 is a composite number with 12 divisors. Its prime factorisation is × 7 × 641. Divisors (12): 1, 2, 4, 7, 14, 28, 641, 1282, 2564, 4487, 8974, 17948.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17948 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17948 is composite. Its prime factorisation is
- 3
The divisors add up to 35952; without 17948 itself that is 18004, so 17948 is abundant (18004 is more than 17948). Euler's totient φ(17948) = 7680 numbers up to 17948 share no factor with it.
- 4
The digits of 17948 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17948 = 2^{2} \times 7 \times 641 \]17948 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 35952 |
| Euler totient φ(n) | 7680 |
| Square | 322130704 |
| Cube | 5781601875392 |
| Square root | 133.970146 (= 2√4487) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7948 × |
17948 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and forty-eight |
| Binary (base 2) | 100011000011100 |
| Octal (base 8) | 43034 |
| Hexadecimal (base 16) | 461C |
| Base 3 | 220121202 |
| As time | 17948 seconds = 4 h 59 min 8 s |
Is 17948 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17948 ÷ 2 = 8974) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17948 ÷ 4 = 4487) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (17948 ÷ 7 = 2564) | 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 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17948 a prime number?
No. 17948 = × 7 × 641, so it is divisible by 2.
What are the factors of 17948?
1, 2, 4, 7, 14, 28, 641, 1282, 2564, 4487, 8974, 17948.
What is 17948 in binary?
100011000011100 (hexadecimal 461C, octal 43034).
What is the square root of 17948?
About 133.9701, exactly 2√4487.
Is 17948 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 17948?
It is a composite number with 12 divisors.