The number 17420
17420 is a composite number with 24 divisors. Its prime factorisation is × 5 × 13 × 67. Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 67, 130, 134, 260, 268, 335 … 17420.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17420: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
17420 is composite. Its prime factorisation is
- 3
The divisors add up to 39984; without 17420 itself that is 22564, so 17420 is abundant (22564 is more than 17420). Euler's totient φ(17420) = 6336 numbers up to 17420 share no factor with it.
- 4
The digits of 17420 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 141 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17420 = 2^{2} \times 5 \times 13 \times 67 \]17420 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 39984 |
| Euler totient φ(n) | 6336 |
| Square | 303456400 |
| Cube | 5286210488000 |
| Square root | 131.984848 (= 2√4355) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 141 |
| Scientific notation | 1.742 × |
17420 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and twenty |
| Binary (base 2) | 100010000001100 |
| Octal (base 8) | 42014 |
| Hexadecimal (base 16) | 440C |
| Base 3 | 212220012 |
| As time | 17420 seconds = 4 h 50 min 20 s |
Is 17420 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17420 ÷ 2 = 8710) | 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 (17420 ÷ 4 = 4355) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17420 ÷ 5 = 3484) | 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 | No (remainder 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (17420 ÷ 10 = 1742) | 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 17420 a prime number?
No. 17420 = × 5 × 13 × 67, so it is divisible by 2.
What are the factors of 17420?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 67, 130, 134, 260, 268, 335, 670, 871, 1340, 1742, 3484, 4355, 8710, 17420.
What is 17420 in binary?
100010000001100 (hexadecimal 440C, octal 42014).
What is the square root of 17420?
About 131.9848, exactly 2√4355.
Is 17420 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 17420?
17420 is a happy number: repeatedly adding the squares of its digits reaches 1.