The number 17901
17901 is a composite number with 20 divisors. Its prime factorisation is × 13 × 17. Divisors (20): 1, 3, 9, 13, 17, 27, 39, 51, 81, 117, 153, 221, 351, 459, 663, 1053 … 17901.
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How to work it out
- 1
17901 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17901 is composite. Its prime factorisation is
- 3
The divisors add up to 30492; without 17901 itself that is 12591, so 17901 is deficient (12591 is less than 17901). Euler's totient φ(17901) = 10368 numbers up to 17901 share no factor with it.
- 4
The digits of 17901 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 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17901 = 3^{4} \times 13 \times 17 \]17901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 30492 |
| Euler totient φ(n) | 10368 |
| Square | 320445801 |
| Cube | 5736300283701 |
| Square root | 133.794619 (= 9√221) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.7901 × |
17901 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and one |
| Binary (base 2) | 100010111101101 |
| Octal (base 8) | 42755 |
| Hexadecimal (base 16) | 45ED |
| Base 3 | 220120000 |
| As time | 17901 seconds = 4 h 58 min 21 s |
Is 17901 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17901 ÷ 3 = 5967) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (17901 ÷ 9 = 1989) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17901 a prime number?
No. 17901 = × 13 × 17, so it is divisible by 3.
What are the factors of 17901?
1, 3, 9, 13, 17, 27, 39, 51, 81, 117, 153, 221, 351, 459, 663, 1053, 1377, 1989, 5967, 17901.
What is 17901 in binary?
100010111101101 (hexadecimal 45ED, octal 42755).
What is the square root of 17901?
About 133.7946, exactly 9√221.
Is 17901 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 17901?
It is a composite number with 20 divisors.