The number 73220
73220 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 523. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 523, 1046, 2092, 2615 … 73220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73220: a Harshad number: divisible by its digit sum 14.
- 2
73220 is composite. Its prime factorisation is
- 3
The divisors add up to 176064; without 73220 itself that is 102844, so 73220 is abundant (102844 is more than 73220). Euler's totient φ(73220) = 25056 numbers up to 73220 share no factor with it.
- 4
The digits of 73220 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73220 = 2^{2} \times 5 \times 7 \times 523 \]73220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 176064 |
| Euler totient φ(n) | 25056 |
| Square | 5361168400 |
| Cube | 392544750248000 |
| Square root | 270.591944 (= 2√18305) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.322 × |
73220 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and twenty |
| Binary (base 2) | 10001111000000100 |
| Octal (base 8) | 217004 |
| Hexadecimal (base 16) | 11E04 |
| Base 3 | 10201102212 |
| As time | 73220 seconds = 20 h 20 min 20 s |
Is 73220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73220 ÷ 2 = 36610) | 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 | Yes (73220 ÷ 4 = 18305) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73220 ÷ 5 = 14644) | 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 (73220 ÷ 7 = 10460) | 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 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73220 ÷ 10 = 7322) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73220 a prime number?
No. 73220 = × 5 × 7 × 523, so it is divisible by 2.
What are the factors of 73220?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 523, 1046, 2092, 2615, 3661, 5230, 7322, 10460, 14644, 18305, 36610, 73220.
What is 73220 in binary?
10001111000000100 (hexadecimal 11E04, octal 217004).
What is the square root of 73220?
About 270.5919, exactly 2√18305.
Is 73220 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 73220?
73220 is a Harshad number: divisible by its digit sum 14.