The number 17380
17380 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 79. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 79, 110, 158, 220, 316, 395 … 17380.
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How to work it out
- 1
17380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17380 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 17380 itself that is 22940, so 17380 is abundant (22940 is more than 17380). Euler's totient φ(17380) = 6240 numbers up to 17380 share no factor with it.
- 4
The digits of 17380 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17380 = 2^{2} \times 5 \times 11 \times 79 \]17380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 6240 |
| Square | 302064400 |
| Cube | 5249879272000 |
| Square root | 131.833228 (= 2√4345) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.738 × |
17380 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand three hundred and eighty |
| Binary (base 2) | 100001111100100 |
| Octal (base 8) | 41744 |
| Hexadecimal (base 16) | 43E4 |
| Base 3 | 212211201 |
| As time | 17380 seconds = 4 h 49 min 40 s |
Is 17380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17380 ÷ 2 = 8690) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17380 ÷ 4 = 4345) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17380 ÷ 5 = 3476) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17380 ÷ 10 = 1738) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (17380 ÷ 11 = 1580) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17380 a prime number?
No. 17380 = × 5 × 11 × 79, so it is divisible by 2.
What are the factors of 17380?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 79, 110, 158, 220, 316, 395, 790, 869, 1580, 1738, 3476, 4345, 8690, 17380.
What is 17380 in binary?
100001111100100 (hexadecimal 43E4, octal 41744).
What is the square root of 17380?
About 131.8332, exactly 2√4345.
Is 17380 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 17380?
It is a composite number with 24 divisors.