The number 73900
73900 is a composite number with 18 divisors. Its prime factorisation is × × 739. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 739, 1478, 2956, 3695, 7390, 14780, 18475 … 73900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73900: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73900 is composite. Its prime factorisation is
- 3
The divisors add up to 160580; without 73900 itself that is 86680, so 73900 is abundant (86680 is more than 73900). Euler's totient φ(73900) = 29520 numbers up to 73900 share no factor with it.
- 4
The digits of 73900 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73900 = 2^{2} \times 5^{2} \times 739 \]73900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 160580 |
| Euler totient φ(n) | 29520 |
| Square | 5461210000 |
| Cube | 403583419000000 |
| Square root | 271.845544 (= 10√739) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.39 × |
73900 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred |
| Binary (base 2) | 10010000010101100 |
| Octal (base 8) | 220254 |
| Hexadecimal (base 16) | 120AC |
| Base 3 | 10202101001 |
| As time | 73900 seconds = 20 h 31 min 40 s |
Is 73900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73900 ÷ 2 = 36950) | 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 (73900 ÷ 4 = 18475) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73900 ÷ 5 = 14780) | 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 1) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73900 ÷ 10 = 7390) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73900 a prime number?
No. 73900 = × × 739, so it is divisible by 2.
What are the factors of 73900?
1, 2, 4, 5, 10, 20, 25, 50, 100, 739, 1478, 2956, 3695, 7390, 14780, 18475, 36950, 73900.
What is 73900 in binary?
10010000010101100 (hexadecimal 120AC, octal 220254).
What is the square root of 73900?
About 271.8455, exactly 10√739.
Is 73900 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73900?
73900 is a happy number: repeatedly adding the squares of its digits reaches 1.