6,901,200

2⁴ × 3⁵ × 5² × 71

Prime Factor Structure

Factorization String 2^4 × 3^5 × 5^2 × 71

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 25,185,888

Proper Divisor Sum 18,284,688

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #6901187 ← → #6901207

Radix Representation

Decimal	6901200
Binary	11010010100110111010000 (23 bits)
Octal	0o32246720
Hexadecimal	0x694DD0

Divisor Catalog (60 of 180)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 71 72 75 80 81 90 100 108 120 135 142 144 150 162 180 200 213 216 225 240 243 270 284 300 324 355 360 400 405 426 432 450 486 540 568

Collatz Trajectory (160 steps to reach 1)

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

6,901,200 3,450,600 1,725,300 862,650 431,325 1,293,976 646,988 323,494 161,747 485,242 242,621 727,864 363,932 181,966 90,983 272,950 136,475 409,426 204,713 614,140 307,070 153,535 460,606 230,303 690,910 345,455 1,036,366 518,183 1,554,550 777,275 2,331,826 1,165,913 3,497,740 1,748,870 874,435 2,623,306 1,311,653 3,934,960 1,967,480 983,740 491,870 245,935 737,806 368,903 1,106,710 553,355 1,660,066 830,033 2,490,100 1,245,050 622,525 1,867,576 933,788 466,894 233,447 700,342 350,171 1,050,514 525,257 1,575,772

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