321,224

2³ × 40153

321,224 factors as 2^3 × 40153. Its 8 positive divisors give a proper-divisor sum of 281,086, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^3 × 40153

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 602,310

Proper Divisor Sum 281,086

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #321221 ← → #321227

Radix Representation

Decimal	321224
Binary	1001110011011001000 (19 bits)
Octal	0o1163310
Hexadecimal	0x4E6C8

Divisor Catalog (8)

1 2 4 8 40,153 80,306 160,612 321,224

Collatz Trajectory (70 steps to reach 1)

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

321,224 160,612 80,306 40,153 120,460 60,230 30,115 90,346 45,173 135,520 67,760 33,880 16,940 8,470 4,235 12,706 6,353 19,060 9,530 4,765 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341

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