The number 73720
73720 is a composite number with 32 divisors. Its prime factorisation is × 5 × 19 × 97. Divisors (32): 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 97, 152, 190, 194 … 73720.
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How to work it out
- 1
What is special about 73720: a Harshad number: divisible by its digit sum 19.
- 2
73720 is composite. Its prime factorisation is
- 3
The divisors add up to 176400; without 73720 itself that is 102680, so 73720 is abundant (102680 is more than 73720). Euler's totient φ(73720) = 27648 numbers up to 73720 share no factor with it.
- 4
The digits of 73720 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73720 = 2^{3} \times 5 \times 19 \times 97 \]73720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 176400 |
| Euler totient φ(n) | 27648 |
| Square | 5434638400 |
| Cube | 400641542848000 |
| Square root | 271.514272 (= 2√18430) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.372 × |
73720 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and twenty |
| Binary (base 2) | 10001111111111000 |
| Octal (base 8) | 217770 |
| Hexadecimal (base 16) | 11FF8 |
| Base 3 | 10202010101 |
| As time | 73720 seconds = 20 h 28 min 40 s |
Is 73720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73720 ÷ 2 = 36860) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73720 ÷ 4 = 18430) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73720 ÷ 5 = 14744) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (73720 ÷ 8 = 9215) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73720 ÷ 10 = 7372) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73720 a prime number?
No. 73720 = × 5 × 19 × 97, so it is divisible by 2.
What are the factors of 73720?
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 97, 152, 190, 194, 380, 388, 485, 760, 776, 970, 1843, 1940, 3686, 3880, 7372, 9215, 14744, 18430, 36860, 73720.
What is 73720 in binary?
10001111111111000 (hexadecimal 11FF8, octal 217770).
What is the square root of 73720?
About 271.5143, exactly 2√18430.
Is 73720 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73720?
73720 is a Harshad number: divisible by its digit sum 19.