8,993,972

2² × 13 × 257 × 673

8,993,972 factors as 2^2 × 13 × 257 × 673. Its 24 positive divisors give a proper-divisor sum of 8,047,444, so this integer is deficient. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 257 × 673

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,041,416

Proper Divisor Sum 8,047,444

Digit Sum / Digital Root 47 (Root: 2)

Adjacent Primes #8993951 ← → #8993977

Radix Representation

Decimal	8993972
Binary	100010010011110010110100 (24 bits)
Octal	0o42236264
Hexadecimal	0x893CB4

Divisor Catalog (24)

Collatz Trajectory (181 steps to reach 1)

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

8,993,972 4,496,986 2,248,493 6,745,480 3,372,740 1,686,370 843,185 2,529,556 1,264,778 632,389 1,897,168 948,584 474,292 237,146 118,573 355,720 177,860 88,930 44,465 133,396 66,698 33,349 100,048 50,024 25,012 12,506 6,253 18,760 9,380 4,690 2,345 7,036 3,518 1,759 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 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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