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36,012

22 × 3 × 3001
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 3001
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 84,056
Proper Divisor Sum 48,044
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #36011 ← → #36013

Radix Representation

Decimal 36012
Binary 1000110010101100 (16 bits)
Octal 0o106254
Hexadecimal 0x8CAC

Divisor Catalog (12)

1 2 3 4 6 12 3,001 6,002 9,003 12,004 18,006 36,012

Collatz Trajectory (80 steps to reach 1)

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

36,012 18,006 9,003 27,010 13,505 40,516 20,258 10,129 30,388 15,194 7,597 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232

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