8,096,516

2² × 41 × 49369

Starting at 8,096,516, the Collatz iteration reaches 1 after 199 steps. The first transition is 4048258; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 41 × 49369

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,514,780

Proper Divisor Sum 6,418,264

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8096509 ← → #8096519

Radix Representation

Decimal	8096516
Binary	11110111000101100000100 (23 bits)
Octal	0o36705404
Hexadecimal	0x7B8B04

Divisor Catalog (12)

1 2 4 41 82 164 49,369 98,738 197,476 2,024,129 4,048,258 8,096,516

Collatz Trajectory (199 steps to reach 1)

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

8,096,516 4,048,258 2,024,129 6,072,388 3,036,194 1,518,097 4,554,292 2,277,146 1,138,573 3,415,720 1,707,860 853,930 426,965 1,280,896 640,448 320,224 160,112 80,056 40,028 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394

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