The number 73416
73416 is a composite number with 64 divisors. Its prime factorisation is × 3 × 7 × 19 × 23. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 23, 24, 28, 38, 42 … 73416.
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How to work it out
- 1
What is special about 73416: a Harshad number: divisible by its digit sum 21.
- 2
73416 is composite. Its prime factorisation is
- 3
The divisors add up to 230400; without 73416 itself that is 156984, so 73416 is abundant (156984 is more than 73416). Euler's totient φ(73416) = 19008 numbers up to 73416 share no factor with it.
- 4
The digits of 73416 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73416 = 2^{3} \times 3 \times 7 \times 19 \times 23 \]73416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 230400 |
| Euler totient φ(n) | 19008 |
| Square | 5389909056 |
| Cube | 395705563255296 |
| Square root | 270.953871 (= 2√18354) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.3416 × |
73416 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and sixteen |
| Binary (base 2) | 10001111011001000 |
| Octal (base 8) | 217310 |
| Hexadecimal (base 16) | 11EC8 |
| Base 3 | 10201201010 |
| As time | 73416 seconds = 20 h 23 min 36 s |
Is 73416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73416 ÷ 2 = 36708) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73416 ÷ 3 = 24472) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73416 ÷ 4 = 18354) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73416 ÷ 6 = 12236) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73416 ÷ 7 = 10488) | 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 (73416 ÷ 8 = 9177) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | Yes (73416 ÷ 12 = 6118) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73416 a prime number?
No. 73416 = × 3 × 7 × 19 × 23, so it is divisible by 2.
What are the factors of 73416?
1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 23, 24, 28, 38, 42, 46, 56, 57, 69, 76, 84, 92, 114, 133, 138, 152, 161, 168, 184, 228, 266, 276, 322, 399, 437, 456, 483, 532, 552, 644, 798, 874, 966, 1064, 1288, 1311, 1596, 1748, 1932, 2622, 3059, 3192, 3496, 3864, 5244, 6118, 9177, 10488, 12236, 18354, 24472, 36708, 73416.
What is 73416 in binary?
10001111011001000 (hexadecimal 11EC8, octal 217310).
What is the square root of 73416?
About 270.9539, exactly 2√18354.
Is 73416 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73416?
73416 is a Harshad number: divisible by its digit sum 21.