8,320,144

2⁴ × 7 × 74287

8,320,144 factors as 2^4 × 7 × 74287. Its 20 positive divisors give a proper-divisor sum of 10,103,280, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 74287

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 18,423,424

Proper Divisor Sum 10,103,280

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8320111 ← → #8320159

Radix Representation

Decimal	8320144
Binary	11111101111010010010000 (23 bits)
Octal	0o37572220
Hexadecimal	0x7EF490

Divisor Catalog (20)

Collatz Trajectory (80 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,320,144 4,160,072 2,080,036 1,040,018 520,009 1,560,028 780,014 390,007 1,170,022 585,011 1,755,034 877,517 2,632,552 1,316,276 658,138 329,069 987,208 493,604 246,802 123,401 370,204 185,102 92,551 277,654 138,827 416,482 208,241 624,724 312,362 156,181 468,544 234,272 117,136 58,568 29,284 14,642 7,321 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245

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