8,162,526

2 × 3 × 41 × 33181

Starting at 8,162,526, the Collatz iteration reaches 1 after 106 steps. The first transition is 4081263; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 41 × 33181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,723,728

Proper Divisor Sum 8,561,202

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8162521 ← → #8162563

Radix Representation

Decimal	8162526
Binary	11111001000110011011110 (23 bits)
Octal	0o37106336
Hexadecimal	0x7C8CDE

Divisor Catalog (16)

1 2 3 6 41 82 123 246 33,181 66,362 99,543 199,086 1,360,421 2,720,842 4,081,263 8,162,526

Collatz Trajectory (106 steps to reach 1)

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

8,162,526 4,081,263 12,243,790 6,121,895 18,365,686 9,182,843 27,548,530 13,774,265 41,322,796 20,661,398 10,330,699 30,992,098 15,496,049 46,488,148 23,244,074 11,622,037 34,866,112 17,433,056 8,716,528 4,358,264 2,179,132 1,089,566 544,783 1,634,350 817,175 2,451,526 1,225,763 3,677,290 1,838,645 5,515,936 2,757,968 1,378,984 689,492 344,746 172,373 517,120 258,560 129,280 64,640 32,320 16,160 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444

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