3,691,524

2² × 3 × 307627

3,691,524 factors as 2^2 × 3 × 307627. Its 12 positive divisors give a proper-divisor sum of 4,922,060, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 307627

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,613,584

Proper Divisor Sum 4,922,060

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3691489 ← → #3691531

Radix Representation

Decimal	3691524
Binary	1110000101010000000100 (22 bits)
Octal	0o16052004
Hexadecimal	0x385404

Divisor Catalog (12)

1 2 3 4 6 12 307,627 615,254 922,881 1,230,508 1,845,762 3,691,524

Collatz Trajectory (84 steps to reach 1)

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

3,691,524 1,845,762 922,881 2,768,644 1,384,322 692,161 2,076,484 1,038,242 519,121 1,557,364 778,682 389,341 1,168,024 584,012 292,006 146,003 438,010 219,005 657,016 328,508 164,254 82,127 246,382 123,191 369,574 184,787 554,362 277,181 831,544 415,772 207,886 103,943 311,830 155,915 467,746 233,873 701,620 350,810 175,405 526,216 263,108 131,554 65,777 197,332 98,666 49,333 148,000 74,000 37,000 18,500 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904

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