The number 17402
17402 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 11 × 113. Divisors (16): 1, 2, 7, 11, 14, 22, 77, 113, 154, 226, 791, 1243, 1582, 2486, 8701, 17402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 17402: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
17402 is composite. Its prime factorisation is
- 3
The divisors add up to 32832; without 17402 itself that is 15430, so 17402 is deficient (15430 is less than 17402). Euler's totient φ(17402) = 6720 numbers up to 17402 share no factor with it.
- 4
The digits of 17402 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 79 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17402 = 2 \times 7 \times 11 \times 113 \]
17402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 32832 |
| Euler totient φ(n) | 6720 |
| Square | 302829604 |
| Cube | 5269840768808 |
| Square root | 131.916640 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 79 |
| Scientific notation | 1.7402 × |
17402 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and two |
| Binary (base 2) | 100001111111010 |
| Octal (base 8) | 41772 |
| Hexadecimal (base 16) | 43FA |
| Base 3 | 212212112 |
| As time | 17402 seconds = 4 h 50 min 2 s |
Is 17402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17402 ÷ 2 = 8701) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 (17402 ÷ 7 = 2486) | 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 2) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (17402 ÷ 11 = 1582) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17402 a prime number?
No. 17402 = 2 × 7 × 11 × 113, so it is divisible by 2.
What are the factors of 17402?
1, 2, 7, 11, 14, 22, 77, 113, 154, 226, 791, 1243, 1582, 2486, 8701, 17402.
What is 17402 in binary?
100001111111010 (hexadecimal 43FA, octal 41772).
What is the square root of 17402?
About 131.9166.
Is 17402 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 17402?
17402 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.