8,993,168

2⁴ × 47 × 11959

8,993,168 factors as 2^4 × 47 × 11959. Its 20 positive divisors give a proper-divisor sum of 8,803,312, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^4 × 47 × 11959

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 17,796,480

Proper Divisor Sum 8,803,312

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #8993167 ← → #8993191

Radix Representation

Decimal	8993168
Binary	100010010011100110010000 (24 bits)
Octal	0o42234620
Hexadecimal	0x893990

Divisor Catalog (20)

Collatz Trajectory (181 steps to reach 1)

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

8,993,168 4,496,584 2,248,292 1,124,146 562,073 1,686,220 843,110 421,555 1,264,666 632,333 1,897,000 948,500 474,250 237,125 711,376 355,688 177,844 88,922 44,461 133,384 66,692 33,346 16,673 50,020 25,010 12,505 37,516 18,758 9,379 28,138 14,069 42,208 21,104 10,552 5,276 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265

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