The number 83400
83400 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 139. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50 … 83400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83400: a Harshad number: divisible by its digit sum 15.
- 2
83400 is composite. Its prime factorisation is
- 3
The divisors add up to 260400; without 83400 itself that is 177000, so 83400 is abundant (177000 is more than 83400). Euler's totient φ(83400) = 22080 numbers up to 83400 share no factor with it.
- 4
The digits of 83400 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83400 = 2^{3} \times 3 \times 5^{2} \times 139 \]83400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 260400 |
| Euler totient φ(n) | 22080 |
| Square | 6955560000 |
| Cube | 580093704000000 |
| Square root | 288.790582 (= 10√834) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.34 × |
83400 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand four hundred |
| Binary (base 2) | 10100010111001000 |
| Octal (base 8) | 242710 |
| Hexadecimal (base 16) | 145C8 |
| Base 3 | 11020101220 |
| As time | 83400 seconds = 23 h 10 min 0 s |
Is 83400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83400 ÷ 2 = 41700) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83400 ÷ 3 = 27800) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83400 ÷ 4 = 20850) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83400 ÷ 5 = 16680) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (83400 ÷ 6 = 13900) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (83400 ÷ 8 = 10425) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83400 ÷ 10 = 8340) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83400 ÷ 12 = 6950) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83400 a prime number?
No. 83400 = × 3 × × 139, so it is divisible by 2.
What are the factors of 83400?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 139, 150, 200, 278, 300, 417, 556, 600, 695, 834, 1112, 1390, 1668, 2085, 2780, 3336, 3475, 4170, 5560, 6950, 8340, 10425, 13900, 16680, 20850, 27800, 41700, 83400.
What is 83400 in binary?
10100010111001000 (hexadecimal 145C8, octal 242710).
What is the square root of 83400?
About 288.7906, exactly 10√834.
Is 83400 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 83400?
83400 is a Harshad number: divisible by its digit sum 15.