The number 73360
73360 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 131. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80 … 73360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73360: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73360 is composite. Its prime factorisation is
- 3
The divisors add up to 196416; without 73360 itself that is 123056, so 73360 is abundant (123056 is more than 73360). Euler's totient φ(73360) = 24960 numbers up to 73360 share no factor with it.
- 4
The digits of 73360 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
\[ 73360 = 2^{4} \times 5 \times 7 \times 131 \]73360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 196416 |
| Euler totient φ(n) | 24960 |
| Square | 5381689600 |
| Cube | 394800749056000 |
| Square root | 270.850512 (= 4√4585) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.336 × |
73360 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and sixty |
| Binary (base 2) | 10001111010010000 |
| Octal (base 8) | 217220 |
| Hexadecimal (base 16) | 11E90 |
| Base 3 | 10201122001 |
| As time | 73360 seconds = 20 h 22 min 40 s |
Is 73360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73360 ÷ 2 = 36680) | 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 (73360 ÷ 4 = 18340) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73360 ÷ 5 = 14672) | 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 | Yes (73360 ÷ 7 = 10480) | 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 (73360 ÷ 8 = 9170) | 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 (73360 ÷ 10 = 7336) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73360 a prime number?
No. 73360 = × 5 × 7 × 131, so it is divisible by 2.
What are the factors of 73360?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 131, 140, 262, 280, 524, 560, 655, 917, 1048, 1310, 1834, 2096, 2620, 3668, 4585, 5240, 7336, 9170, 10480, 14672, 18340, 36680, 73360.
What is 73360 in binary?
10001111010010000 (hexadecimal 11E90, octal 217220).
What is the square root of 73360?
About 270.8505, exactly 4√4585.
Is 73360 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73360?
73360 is a happy number: repeatedly adding the squares of its digits reaches 1.