6,730,200

2³ × 3² × 5² × 3739

6,730,200 has digital root 9. The neighboring primes are 6730187 and 6730201; its proper-divisor sum differs from the starting integer by 9,147,900.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^2 × 3739

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 22,608,300

Proper Divisor Sum 15,878,100

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6730187 ← → #6730201

Radix Representation

Decimal	6730200
Binary	11001101011000111011000 (23 bits)
Octal	0o31530730
Hexadecimal	0x66B1D8

Divisor Catalog (60 of 72)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1,800 3,739 7,478 11,217 14,956 18,695 22,434 29,912 33,651 37,390 44,868 56,085 67,302 74,780 89,736 93,475 112,170 134,604 149,560 168,255 186,950 224,340 269,208 280,425 336,510

Collatz Trajectory (253 steps to reach 1)

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

6,730,200 3,365,100 1,682,550 841,275 2,523,826 1,261,913 3,785,740 1,892,870 946,435 2,839,306 1,419,653 4,258,960 2,129,480 1,064,740 532,370 266,185 798,556 399,278 199,639 598,918 299,459 898,378 449,189 1,347,568 673,784 336,892 168,446 84,223 252,670 126,335 379,006 189,503 568,510 284,255 852,766 426,383 1,279,150 639,575 1,918,726 959,363 2,878,090 1,439,045 4,317,136 2,158,568 1,079,284 539,642 269,821 809,464 404,732 202,366 101,183 303,550 151,775 455,326 227,663 682,990 341,495 1,024,486 512,243 1,536,730

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