8,502,616

2³ × 1062827

Starting at 8,502,616, the Collatz iteration reaches 1 after 199 steps. The first transition is 4251308; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 1062827

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,942,420

Proper Divisor Sum 7,439,804

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8502589 ← → #8502619

Radix Representation

Decimal	8502616
Binary	100000011011110101011000 (24 bits)
Octal	0o40336530
Hexadecimal	0x81BD58

Divisor Catalog (8)

1 2 4 8 1,062,827 2,125,654 4,251,308 8,502,616

Collatz Trajectory (199 steps to reach 1)

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

8,502,616 4,251,308 2,125,654 1,062,827 3,188,482 1,594,241 4,782,724 2,391,362 1,195,681 3,587,044 1,793,522 896,761 2,690,284 1,345,142 672,571 2,017,714 1,008,857 3,026,572 1,513,286 756,643 2,269,930 1,134,965 3,404,896 1,702,448 851,224 425,612 212,806 106,403 319,210 159,605 478,816 239,408 119,704 59,852 29,926 14,963 44,890 22,445 67,336 33,668 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945

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