The number 73460
73460 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3673. Divisors (12): 1, 2, 4, 5, 10, 20, 3673, 7346, 14692, 18365, 36730, 73460.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73460: a Harshad number: divisible by its digit sum 20.
- 2
73460 is composite. Its prime factorisation is
- 3
The divisors add up to 154308; without 73460 itself that is 80848, so 73460 is abundant (80848 is more than 73460). Euler's totient φ(73460) = 29376 numbers up to 73460 share no factor with it.
- 4
The digits of 73460 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73460 = 2^{2} \times 5 \times 3673 \]73460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 154308 |
| Euler totient φ(n) | 29376 |
| Square | 5396371600 |
| Cube | 396417457736000 |
| Square root | 271.035053 (= 2√18365) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.346 × |
73460 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and sixty |
| Binary (base 2) | 10001111011110100 |
| Octal (base 8) | 217364 |
| Hexadecimal (base 16) | 11EF4 |
| Base 3 | 10201202202 |
| As time | 73460 seconds = 20 h 24 min 20 s |
Is 73460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73460 ÷ 2 = 36730) | 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 (73460 ÷ 4 = 18365) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73460 ÷ 5 = 14692) | 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 | No (remainder 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73460 ÷ 10 = 7346) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 73460 a prime number?
No. 73460 = × 5 × 3673, so it is divisible by 2.
What are the factors of 73460?
1, 2, 4, 5, 10, 20, 3673, 7346, 14692, 18365, 36730, 73460.
What is 73460 in binary?
10001111011110100 (hexadecimal 11EF4, octal 217364).
What is the square root of 73460?
About 271.0351, exactly 2√18365.
Is 73460 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 73460?
73460 is a Harshad number: divisible by its digit sum 20.