8,020,226

2 × 17 × 235889

Starting at 8,020,226, the Collatz iteration reaches 1 after 142 steps. The first transition is 4010113; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 235889

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,738,060

Proper Divisor Sum 4,717,834

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #8020183 ← → #8020237

Radix Representation

Decimal	8020226
Binary	11110100110000100000010 (23 bits)
Octal	0o36460402
Hexadecimal	0x7A6102

Divisor Catalog (8)

1 2 17 34 235,889 471,778 4,010,113 8,020,226

Collatz Trajectory (142 steps to reach 1)

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

8,020,226 4,010,113 12,030,340 6,015,170 3,007,585 9,022,756 4,511,378 2,255,689 6,767,068 3,383,534 1,691,767 5,075,302 2,537,651 7,612,954 3,806,477 11,419,432 5,709,716 2,854,858 1,427,429 4,282,288 2,141,144 1,070,572 535,286 267,643 802,930 401,465 1,204,396 602,198 301,099 903,298 451,649 1,354,948 677,474 338,737 1,016,212 508,106 254,053 762,160 381,080 190,540 95,270 47,635 142,906 71,453 214,360 107,180 53,590 26,795 80,386 40,193 120,580 60,290 30,145 90,436 45,218 22,609 67,828 33,914 16,957 50,872

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