3,813,636

2² × 3 × 199 × 1597

3,813,636 factors as 2^2 × 3 × 199 × 1597. Its 24 positive divisors give a proper-divisor sum of 5,135,164, so this integer is abundant. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 199 × 1597

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,948,800

Proper Divisor Sum 5,135,164

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3813631 ← → #3813643

Radix Representation

Decimal	3813636
Binary	1110100011000100000100 (22 bits)
Octal	0o16430404
Hexadecimal	0x3A3104

Divisor Catalog (24)

Collatz Trajectory (247 steps to reach 1)

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

3,813,636 1,906,818 953,409 2,860,228 1,430,114 715,057 2,145,172 1,072,586 536,293 1,608,880 804,440 402,220 201,110 100,555 301,666 150,833 452,500 226,250 113,125 339,376 169,688 84,844 42,422 21,211 63,634 31,817 95,452 47,726 23,863 71,590 35,795 107,386 53,693 161,080 80,540 40,270 20,135 60,406 30,203 90,610 45,305 135,916 67,958 33,979 101,938 50,969 152,908 76,454 38,227 114,682 57,341 172,024 86,012 43,006 21,503 64,510 32,255 96,766 48,383 145,150

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