3,673,600

2⁹ × 5² × 7 × 41

Prime Factor Structure

Factorization String 2^9 × 5^2 × 7 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 10,655,568

Proper Divisor Sum 6,981,968

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3673597 ← → #3673601

Radix Representation

Decimal	3673600
Binary	1110000000111000000000 (22 bits)
Octal	0o16007000
Hexadecimal	0x380E00

Divisor Catalog (60 of 120)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 50 56 64 70 80 82 100 112 128 140 160 164 175 200 205 224 256 280 287 320 328 350 400 410 448 512 560 574 640 656 700 800 820 896 1,025 1,120 1,148 1,280 1,312 1,400 1,435 1,600 1,640 1,792

Collatz Trajectory (84 steps to reach 1)

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

3,673,600 1,836,800 918,400 459,200 229,600 114,800 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650

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