The number 72124
72124 is a composite number with 24 divisors. Its prime factorisation is × 13 × 19 × 73. Divisors (24): 1, 2, 4, 13, 19, 26, 38, 52, 73, 76, 146, 247, 292, 494, 949, 988 … 72124.
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How to work it out
- 1
72124 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72124 is composite. Its prime factorisation is
- 3
The divisors add up to 145040; without 72124 itself that is 72916, so 72124 is abundant (72916 is more than 72124). Euler's totient φ(72124) = 31104 numbers up to 72124 share no factor with it.
- 4
The digits of 72124 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72124 = 2^{2} \times 13 \times 19 \times 73 \]72124 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 145040 |
| Euler totient φ(n) | 31104 |
| Square | 5201871376 |
| Cube | 375179771122624 |
| Square root | 268.559118 (= 2√18031) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.2124 × |
72124 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand one hundred and twenty-four |
| Binary (base 2) | 10001100110111100 |
| Octal (base 8) | 214674 |
| Hexadecimal (base 16) | 119BC |
| Base 3 | 10122221021 |
| As time | 72124 seconds = 20 h 2 min 4 s |
Is 72124 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72124 ÷ 2 = 36062) | 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 (72124 ÷ 4 = 18031) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | 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 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 72124 a prime number?
No. 72124 = × 13 × 19 × 73, so it is divisible by 2.
What are the factors of 72124?
1, 2, 4, 13, 19, 26, 38, 52, 73, 76, 146, 247, 292, 494, 949, 988, 1387, 1898, 2774, 3796, 5548, 18031, 36062, 72124.
What is 72124 in binary?
10001100110111100 (hexadecimal 119BC, octal 214674).
What is the square root of 72124?
About 268.5591, exactly 2√18031.
Is 72124 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72124?
It is a composite number with 24 divisors.