The number 73464
73464 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3061. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3061, 6122, 9183, 12244, 18366, 24488, 36732, 73464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73464: a Harshad number: divisible by its digit sum 24.
- 2
73464 is composite. Its prime factorisation is
- 3
The divisors add up to 183720; without 73464 itself that is 110256, so 73464 is abundant (110256 is more than 73464). Euler's totient φ(73464) = 24480 numbers up to 73464 share no factor with it.
- 4
The digits of 73464 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73464 = 2^{3} \times 3 \times 3061 \]73464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 183720 |
| Euler totient φ(n) | 24480 |
| Square | 5396959296 |
| Cube | 396482217721344 |
| Square root | 271.042432 (= 2√18366) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 174 |
| Scientific notation | 7.3464 × |
73464 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and sixty-four |
| Binary (base 2) | 10001111011111000 |
| Octal (base 8) | 217370 |
| Hexadecimal (base 16) | 11EF8 |
| Base 3 | 10201202220 |
| As time | 73464 seconds = 20 h 24 min 24 s |
Is 73464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73464 ÷ 2 = 36732) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73464 ÷ 3 = 24488) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73464 ÷ 4 = 18366) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73464 ÷ 6 = 12244) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (73464 ÷ 8 = 9183) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73464 ÷ 12 = 6122) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73464 a prime number?
No. 73464 = × 3 × 3061, so it is divisible by 2.
What are the factors of 73464?
1, 2, 3, 4, 6, 8, 12, 24, 3061, 6122, 9183, 12244, 18366, 24488, 36732, 73464.
What is 73464 in binary?
10001111011111000 (hexadecimal 11EF8, octal 217370).
What is the square root of 73464?
About 271.0424, exactly 2√18366.
Is 73464 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 73464?
73464 is a Harshad number: divisible by its digit sum 24.