λ
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8,993,720

23 × 5 × 31 × 7253
Abundant Even Composite

8,993,720 factors as 2^3 × 5 × 31 × 7253. Its 32 positive divisors give a proper-divisor sum of 11,897,800, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 31 × 7253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,891,520
Proper Divisor Sum 11,897,800
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8993693 ← → #8993723

Radix Representation

Decimal 8993720
Binary 100010010011101110111000 (24 bits)
Octal 0o42235670
Hexadecimal 0x893BB8

Divisor Catalog (32)

1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1,240 7,253 14,506 29,012 36,265 58,024 72,530 145,060 224,843 290,120 449,686 899,372 1,124,215 1,798,744 2,248,430 4,496,860 8,993,720

Collatz Trajectory (111 steps to reach 1)

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

8,993,720 4,496,860 2,248,430 1,124,215 3,372,646 1,686,323 5,058,970 2,529,485 7,588,456 3,794,228 1,897,114 948,557 2,845,672 1,422,836 711,418 355,709 1,067,128 533,564 266,782 133,391 400,174 200,087 600,262 300,131 900,394 450,197 1,350,592 675,296 337,648 168,824 84,412 42,206 21,103 63,310 31,655 94,966 47,483 142,450 71,225 213,676 106,838 53,419 160,258 80,129 240,388 120,194 60,097 180,292 90,146 45,073 135,220 67,610 33,805 101,416 50,708 25,354 12,677 38,032 19,016 9,508

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