The number 83370
83370 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 7 × 397. Divisors (32): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210 … 83370.
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How to work it out
- 1
What is special about 83370: a Harshad number: divisible by its digit sum 21.
- 2
83370 is composite. Its prime factorisation is
- 3
The divisors add up to 229248; without 83370 itself that is 145878, so 83370 is abundant (145878 is more than 83370). Euler's totient φ(83370) = 19008 numbers up to 83370 share no factor with it.
- 4
The digits of 83370 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83370 = 2 \times 3 \times 5 \times 7 \times 397 \]
83370 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 229248 |
| Euler totient φ(n) | 19008 |
| Square | 6950556900 |
| Cube | 579467928753000 |
| Square root | 288.738636 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.337 × |
83370 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand three hundred and seventy |
| Binary (base 2) | 10100010110101010 |
| Octal (base 8) | 242652 |
| Hexadecimal (base 16) | 145AA |
| Base 3 | 11020100210 |
| As time | 83370 seconds = 23 h 9 min 30 s |
Is 83370 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83370 ÷ 2 = 41685) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83370 ÷ 3 = 27790) | 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 | Yes (83370 ÷ 5 = 16674) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (83370 ÷ 6 = 13895) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (83370 ÷ 7 = 11910) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (83370 ÷ 10 = 8337) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83370 a prime number?
No. 83370 = 2 × 3 × 5 × 7 × 397, so it is divisible by 2.
What are the factors of 83370?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 397, 794, 1191, 1985, 2382, 2779, 3970, 5558, 5955, 8337, 11910, 13895, 16674, 27790, 41685, 83370.
What is 83370 in binary?
10100010110101010 (hexadecimal 145AA, octal 242652).
What is the square root of 83370?
About 288.7386.
Is 83370 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 83370?
83370 is a Harshad number: divisible by its digit sum 21.