λ
Ratio Atlas
Atlas › Integer Profiles › Node 210,280
210,280
23 × 5 × 7 × 751
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 751
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 541,440
Proper Divisor Sum 331,160
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #210277 ← → #210283

Radix Representation

Decimal 210280
Binary 110011010101101000 (18 bits)
Octal 0o632550
Hexadecimal 0x33568

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 751 1,502 3,004 3,755 5,257 6,008 7,510 10,514 15,020 21,028 26,285 30,040 42,056 52,570 105,140 210,280

Collatz Trajectory (67 steps to reach 1)

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

210,280 105,140 52,570 26,285 78,856 39,428 19,714 9,857 29,572 14,786 7,393 22,180 11,090 5,545 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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