λ
Math Directory

8,987,855

5 × 19 × 37 × 2557
Deficient Odd Composite

8,987,855 factors as 5 × 19 × 37 × 2557. Its 16 positive divisors give a proper-divisor sum of 2,676,625, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 5 × 19 × 37 × 2557
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,664,480
Proper Divisor Sum 2,676,625
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #8987851 ← → #8987911

Radix Representation

Decimal 8987855
Binary 100010010010010011001111 (24 bits)
Octal 0o42222317
Hexadecimal 0x8924CF

Divisor Catalog (16)

1 5 19 37 95 185 703 2,557 3,515 12,785 48,583 94,609 242,915 473,045 1,797,571 8,987,855

Collatz Trajectory (75 steps to reach 1)

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

8,987,855 26,963,566 13,481,783 40,445,350 20,222,675 60,668,026 30,334,013 91,002,040 45,501,020 22,750,510 11,375,255 34,125,766 17,062,883 51,188,650 25,594,325 76,782,976 38,391,488 19,195,744 9,597,872 4,798,936 2,399,468 1,199,734 599,867 1,799,602 899,801 2,699,404 1,349,702 674,851 2,024,554 1,012,277 3,036,832 1,518,416 759,208 379,604 189,802 94,901 284,704 142,352 71,176 35,588 17,794 8,897 26,692 13,346 6,673 20,020 10,010 5,005 15,016 7,508 3,754 1,877 5,632 2,816 1,408 704 352 176 88 44

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