The number 73124
73124 is a composite number with 12 divisors. Its prime factorisation is × 101 × 181. Divisors (12): 1, 2, 4, 101, 181, 202, 362, 404, 724, 18281, 36562, 73124.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73124: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73124 is composite. Its prime factorisation is
- 3
The divisors add up to 129948; without 73124 itself that is 56824, so 73124 is deficient (56824 is less than 73124). Euler's totient φ(73124) = 36000 numbers up to 73124 share no factor with it.
- 4
The digits of 73124 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73124 = 2^{2} \times 101 \times 181 \]73124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 129948 |
| Euler totient φ(n) | 36000 |
| Square | 5347119376 |
| Cube | 391002757250624 |
| Square root | 270.414497 (= 2√18281) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3124 × |
73124 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and twenty-four |
| Binary (base 2) | 10001110110100100 |
| Octal (base 8) | 216644 |
| Hexadecimal (base 16) | 11DA4 |
| Base 3 | 10201022022 |
| As time | 73124 seconds = 20 h 18 min 44 s |
Is 73124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73124 ÷ 2 = 36562) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73124 ÷ 4 = 18281) | 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 | No (remainder 2) | 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 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73124 a prime number?
No. 73124 = × 101 × 181, so it is divisible by 2.
What are the factors of 73124?
1, 2, 4, 101, 181, 202, 362, 404, 724, 18281, 36562, 73124.
What is 73124 in binary?
10001110110100100 (hexadecimal 11DA4, octal 216644).
What is the square root of 73124?
About 270.4145, exactly 2√18281.
Is 73124 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 73124?
73124 is a happy number: repeatedly adding the squares of its digits reaches 1.