The number 83412
83412 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 331. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 83412.
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How to work it out
- 1
What is special about 83412: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
83412 is composite. Its prime factorisation is
- 3
The divisors add up to 241696; without 83412 itself that is 158284, so 83412 is abundant (158284 is more than 83412). Euler's totient φ(83412) = 23760 numbers up to 83412 share no factor with it.
- 4
The digits of 83412 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83412 = 2^{2} \times 3^{2} \times 7 \times 331 \]83412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 241696 |
| Euler totient φ(n) | 23760 |
| Square | 6957561744 |
| Cube | 580344140190528 |
| Square root | 288.811357 (= 6√2317) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.3412 × |
83412 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand four hundred and twelve |
| Binary (base 2) | 10100010111010100 |
| Octal (base 8) | 242724 |
| Hexadecimal (base 16) | 145D4 |
| Base 3 | 11020102100 |
| As time | 83412 seconds = 23 h 10 min 12 s |
Is 83412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83412 ÷ 2 = 41706) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83412 ÷ 3 = 27804) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83412 ÷ 4 = 20853) | 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 | Yes (83412 ÷ 6 = 13902) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (83412 ÷ 7 = 11916) | 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 | Yes (83412 ÷ 9 = 9268) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83412 ÷ 12 = 6951) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83412 a prime number?
No. 83412 = × × 7 × 331, so it is divisible by 2.
What are the factors of 83412?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 331, 662, 993, 1324, 1986, 2317, 2979, 3972, 4634, 5958, 6951, 9268, 11916, 13902, 20853, 27804, 41706, 83412.
What is 83412 in binary?
10100010111010100 (hexadecimal 145D4, octal 242724).
What is the square root of 83412?
About 288.8114, exactly 6√2317.
Is 83412 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 83412?
83412 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.