λ
Sequence Observatory

8,529,102

2 × 32 × 473839
Abundant Even Composite

Starting at 8,529,102, the Collatz iteration reaches 1 after 181 steps. The first transition is 4264551; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 473839
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 18,479,760
Proper Divisor Sum 9,950,658
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8529097 ← → #8529109

Radix Representation

Decimal 8529102
Binary 100000100010010011001110 (24 bits)
Octal 0o40422316
Hexadecimal 0x8224CE

Divisor Catalog (12)

1 2 3 6 9 18 473,839 947,678 1,421,517 2,843,034 4,264,551 8,529,102

Collatz Trajectory (181 steps to reach 1)

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

8,529,102 4,264,551 12,793,654 6,396,827 19,190,482 9,595,241 28,785,724 14,392,862 7,196,431 21,589,294 10,794,647 32,383,942 16,191,971 48,575,914 24,287,957 72,863,872 36,431,936 18,215,968 9,107,984 4,553,992 2,276,996 1,138,498 569,249 1,707,748 853,874 426,937 1,280,812 640,406 320,203 960,610 480,305 1,440,916 720,458 360,229 1,080,688 540,344 270,172 135,086 67,543 202,630 101,315 303,946 151,973 455,920 227,960 113,980 56,990 28,495 85,486 42,743 128,230 64,115 192,346 96,173 288,520 144,260 72,130 36,065 108,196 54,098

More profiles

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