λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,500,224
3,500,224
26 × 7 × 13 × 601
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 7 × 13 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 8,562,848
Proper Divisor Sum 5,062,624
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #3500207 ← → #3500227

Radix Representation

Decimal 3500224
Binary 1101010110100011000000 (22 bits)
Octal 0o15264300
Hexadecimal 0x3568C0

Divisor Catalog (56)

1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 182 208 224 364 416 448 601 728 832 1,202 1,456 2,404 2,912 4,207 4,808 5,824 7,813 8,414 9,616 15,626 16,828 19,232 31,252 33,656 38,464 54,691 62,504 67,312 109,382 125,008 134,624 218,764 250,016 269,248 437,528 500,032 875,056 1,750,112 3,500,224

Collatz Trajectory (159 steps to reach 1)

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

3,500,224 1,750,112 875,056 437,528 218,764 109,382 54,691 164,074 82,037 246,112 123,056 61,528 30,764 15,382 7,691 23,074 11,537 34,612 17,306 8,653 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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