The number 73840
73840 is a composite number with 40 divisors. Its prime factorisation is × 5 × 13 × 71. Divisors (40): 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 71, 80, 104 … 73840.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73840 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73840 is composite. Its prime factorisation is
- 3
The divisors add up to 187488; without 73840 itself that is 113648, so 73840 is abundant (113648 is more than 73840). Euler's totient φ(73840) = 26880 numbers up to 73840 share no factor with it.
- 4
The digits of 73840 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73840 = 2^{4} \times 5 \times 13 \times 71 \]73840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 187488 |
| Euler totient φ(n) | 26880 |
| Square | 5452345600 |
| Cube | 402601199104000 |
| Square root | 271.735165 (= 4√4615) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.384 × |
73840 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and forty |
| Binary (base 2) | 10010000001110000 |
| Octal (base 8) | 220160 |
| Hexadecimal (base 16) | 12070 |
| Base 3 | 10202021211 |
| As time | 73840 seconds = 20 h 30 min 40 s |
Is 73840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73840 ÷ 2 = 36920) | 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 (73840 ÷ 4 = 18460) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73840 ÷ 5 = 14768) | 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 | No (remainder 4) | 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 (73840 ÷ 8 = 9230) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73840 ÷ 10 = 7384) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 73840 a prime number?
No. 73840 = × 5 × 13 × 71, so it is divisible by 2.
What are the factors of 73840?
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 71, 80, 104, 130, 142, 208, 260, 284, 355, 520, 568, 710, 923, 1040, 1136, 1420, 1846, 2840, 3692, 4615, 5680, 7384, 9230, 14768, 18460, 36920, 73840.
What is 73840 in binary?
10010000001110000 (hexadecimal 12070, octal 220160).
What is the square root of 73840?
About 271.7352, exactly 4√4615.
Is 73840 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73840?
It is a composite number with 40 divisors.