The number 73120
73120 is a composite number with 24 divisors. Its prime factorisation is × 5 × 457. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 457, 914, 1828, 2285 … 73120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73120 is composite. Its prime factorisation is
- 3
The divisors add up to 173124; without 73120 itself that is 100004, so 73120 is abundant (100004 is more than 73120). Euler's totient φ(73120) = 29184 numbers up to 73120 share no factor with it.
- 4
The digits of 73120 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73120 = 2^{5} \times 5 \times 457 \]73120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 173124 |
| Euler totient φ(n) | 29184 |
| Square | 5346534400 |
| Cube | 390938595328000 |
| Square root | 270.407100 (= 4√4570) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.312 × |
73120 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and twenty |
| Binary (base 2) | 10001110110100000 |
| Octal (base 8) | 216640 |
| Hexadecimal (base 16) | 11DA0 |
| Base 3 | 10201022011 |
| As time | 73120 seconds = 20 h 18 min 40 s |
Is 73120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73120 ÷ 2 = 36560) | 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 (73120 ÷ 4 = 18280) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73120 ÷ 5 = 14624) | 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 5) | 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 (73120 ÷ 8 = 9140) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73120 ÷ 10 = 7312) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 73120 a prime number?
No. 73120 = × 5 × 457, so it is divisible by 2.
What are the factors of 73120?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 457, 914, 1828, 2285, 3656, 4570, 7312, 9140, 14624, 18280, 36560, 73120.
What is 73120 in binary?
10001110110100000 (hexadecimal 11DA0, octal 216640).
What is the square root of 73120?
About 270.4071, exactly 4√4570.
Is 73120 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 73120?
It is a composite number with 24 divisors.