322,384

2⁴ × 20149

322,384 has digital root 4. The neighboring primes are 322351 and 322397; its proper-divisor sum differs from the starting integer by -20,118.

Prime Factor Structure

Factorization String 2^4 × 20149

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 624,650

Proper Divisor Sum 302,266

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #322351 ← → #322397

Radix Representation

Decimal	322384
Binary	1001110101101010000 (19 bits)
Octal	0o1165520
Hexadecimal	0x4EB50

Divisor Catalog (10)

1 2 4 8 16 20,149 40,298 80,596 161,192 322,384

Collatz Trajectory (91 steps to reach 1)

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

322,384 161,192 80,596 40,298 20,149 60,448 30,224 15,112 7,556 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344

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