The number 83402
83402 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 17 × 223. Divisors (16): 1, 2, 11, 17, 22, 34, 187, 223, 374, 446, 2453, 3791, 4906, 7582, 41701, 83402.
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How to work it out
- 1
What is special about 83402: a Harshad number: divisible by its digit sum 17.
- 2
83402 is composite. Its prime factorisation is
- 3
The divisors add up to 145152; without 83402 itself that is 61750, so 83402 is deficient (61750 is less than 83402). Euler's totient φ(83402) = 35520 numbers up to 83402 share no factor with it.
- 4
The digits of 83402 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83402 = 2 \times 11 \times 17 \times 223 \]
83402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 145152 |
| Euler totient φ(n) | 35520 |
| Square | 6955893604 |
| Cube | 580135438360808 |
| Square root | 288.794044 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.3402 × |
83402 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand four hundred and two |
| Binary (base 2) | 10100010111001010 |
| Octal (base 8) | 242712 |
| Hexadecimal (base 16) | 145CA |
| Base 3 | 11020101222 |
| As time | 83402 seconds = 23 h 10 min 2 s |
Is 83402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83402 ÷ 2 = 41701) | 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 | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 (83402 ÷ 11 = 7582) | 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 83402 a prime number?
No. 83402 = 2 × 11 × 17 × 223, so it is divisible by 2.
What are the factors of 83402?
1, 2, 11, 17, 22, 34, 187, 223, 374, 446, 2453, 3791, 4906, 7582, 41701, 83402.
What is 83402 in binary?
10100010111001010 (hexadecimal 145CA, octal 242712).
What is the square root of 83402?
About 288.7940.
Is 83402 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 83402?
83402 is a Harshad number: divisible by its digit sum 17.