The number 73740
73740 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1229. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1229, 2458, 3687, 4916 … 73740.
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How to work it out
- 1
73740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73740 is composite. Its prime factorisation is
- 3
The divisors add up to 206640; without 73740 itself that is 132900, so 73740 is abundant (132900 is more than 73740). Euler's totient φ(73740) = 19648 numbers up to 73740 share no factor with it.
- 4
The digits of 73740 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73740 = 2^{2} \times 3 \times 5 \times 1229 \]73740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 206640 |
| Euler totient φ(n) | 19648 |
| Square | 5437587600 |
| Cube | 400967709624000 |
| Square root | 271.551100 (= 2√18435) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.374 × |
73740 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and forty |
| Binary (base 2) | 10010000000001100 |
| Octal (base 8) | 220014 |
| Hexadecimal (base 16) | 1200C |
| Base 3 | 10202011010 |
| As time | 73740 seconds = 20 h 29 min 0 s |
Is 73740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73740 ÷ 2 = 36870) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73740 ÷ 3 = 24580) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73740 ÷ 4 = 18435) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73740 ÷ 5 = 14748) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73740 ÷ 6 = 12290) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73740 ÷ 10 = 7374) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73740 ÷ 12 = 6145) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73740 a prime number?
No. 73740 = × 3 × 5 × 1229, so it is divisible by 2.
What are the factors of 73740?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1229, 2458, 3687, 4916, 6145, 7374, 12290, 14748, 18435, 24580, 36870, 73740.
What is 73740 in binary?
10010000000001100 (hexadecimal 1200C, octal 220014).
What is the square root of 73740?
About 271.5511, exactly 2√18435.
Is 73740 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73740?
It is a composite number with 24 divisors.