8,092,102

2 × 17 × 29² × 283

Starting at 8,092,102, the Collatz iteration reaches 1 after 93 steps. The first transition is 4046051; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 29^2 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,357,656

Proper Divisor Sum 5,265,554

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8092069 ← → #8092103

Radix Representation

Decimal	8092102
Binary	11110110111100111000110 (23 bits)
Octal	0o36674706
Hexadecimal	0x7B79C6

Divisor Catalog (24)

1 2 17 29 34 58 283 493 566 841 986 1,682 4,811 8,207 9,622 14,297 16,414 28,594 139,519 238,003 279,038 476,006 4,046,051 8,092,102

Collatz Trajectory (93 steps to reach 1)

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

8,092,102 4,046,051 12,138,154 6,069,077 18,207,232 9,103,616 4,551,808 2,275,904 1,137,952 568,976 284,488 142,244 71,122 35,561 106,684 53,342 26,671 80,014 40,007 120,022 60,011 180,034 90,017 270,052 135,026 67,513 202,540 101,270 50,635 151,906 75,953 227,860 113,930 56,965 170,896 85,448 42,724 21,362 10,681 32,044 16,022 8,011 24,034 12,017 36,052 18,026 9,013 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238

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