8,993,012

2² × 7 × 509 × 631

8,993,012 factors as 2^2 × 7 × 509 × 631. Its 24 positive divisors give a proper-divisor sum of 9,056,908, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 509 × 631

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,049,920

Proper Divisor Sum 9,056,908

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8993011 ← → #8993041

Radix Representation

Decimal	8993012
Binary	100010010011100011110100 (24 bits)
Octal	0o42234364
Hexadecimal	0x8938F4

Divisor Catalog (24)

Collatz Trajectory (137 steps to reach 1)

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

8,993,012 4,496,506 2,248,253 6,744,760 3,372,380 1,686,190 843,095 2,529,286 1,264,643 3,793,930 1,896,965 5,690,896 2,845,448 1,422,724 711,362 355,681 1,067,044 533,522 266,761 800,284 400,142 200,071 600,214 300,107 900,322 450,161 1,350,484 675,242 337,621 1,012,864 506,432 253,216 126,608 63,304 31,652 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340 3,170 1,585

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