223,538

2 × 7² × 2281

223,538 factors as 2 × 7^2 × 2281. Its 12 positive divisors give a proper-divisor sum of 166,684, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 2281

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 390,222

Proper Divisor Sum 166,684

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #223529 ← → #223543

Radix Representation

Decimal	223538
Binary	110110100100110010 (18 bits)
Octal	0o664462
Hexadecimal	0x36932

Divisor Catalog (12)

1 2 7 14 49 98 2,281 4,562 15,967 31,934 111,769 223,538

Collatz Trajectory (155 steps to reach 1)

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

223,538 111,769 335,308 167,654 83,827 251,482 125,741 377,224 188,612 94,306 47,153 141,460 70,730 35,365 106,096 53,048 26,524 13,262 6,631 19,894 9,947 29,842 14,921 44,764 22,382 11,191 33,574 16,787 50,362 25,181 75,544 37,772 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242

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