3,677,634

2 × 3² × 173 × 1181

3,677,634 has the prime decomposition 2 × 3^2 × 173 × 1181. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 173 × 1181

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,021,052

Proper Divisor Sum 4,343,418

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3677633 ← → #3677657

Radix Representation

Decimal	3677634
Binary	1110000001110111000010 (22 bits)
Octal	0o16016702
Hexadecimal	0x381DC2

Divisor Catalog (24)

1 2 3 6 9 18 173 346 519 1,038 1,181 1,557 2,362 3,114 3,543 7,086 10,629 21,258 204,313 408,626 612,939 1,225,878 1,838,817 3,677,634

Collatz Trajectory (203 steps to reach 1)

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

3,677,634 1,838,817 5,516,452 2,758,226 1,379,113 4,137,340 2,068,670 1,034,335 3,103,006 1,551,503 4,654,510 2,327,255 6,981,766 3,490,883 10,472,650 5,236,325 15,708,976 7,854,488 3,927,244 1,963,622 981,811 2,945,434 1,472,717 4,418,152 2,209,076 1,104,538 552,269 1,656,808 828,404 414,202 207,101 621,304 310,652 155,326 77,663 232,990 116,495 349,486 174,743 524,230 262,115 786,346 393,173 1,179,520 589,760 294,880 147,440 73,720 36,860 18,430 9,215 27,646 13,823 41,470 20,735 62,206 31,103 93,310 46,655 139,966

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