λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,202,748
7,202,748
22 × 3 × 7 × 19 × 4513
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 19 × 4513
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,222,720
Proper Divisor Sum 13,019,972
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7202717 ← → #7202761

Radix Representation

Decimal 7202748
Binary 11011011110011110111100 (23 bits)
Octal 0o33363674
Hexadecimal 0x6DE7BC

Divisor Catalog (48)

1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1,596 4,513 9,026 13,539 18,052 27,078 31,591 54,156 63,182 85,747 94,773 126,364 171,494 189,546 257,241 342,988 379,092 514,482 600,229 1,028,964 1,200,458 1,800,687 2,400,916 3,601,374 7,202,748

Collatz Trajectory (142 steps to reach 1)

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

7,202,748 3,601,374 1,800,687 5,402,062 2,701,031 8,103,094 4,051,547 12,154,642 6,077,321 18,231,964 9,115,982 4,557,991 13,673,974 6,836,987 20,510,962 10,255,481 30,766,444 15,383,222 7,691,611 23,074,834 11,537,417 34,612,252 17,306,126 8,653,063 25,959,190 12,979,595 38,938,786 19,469,393 58,408,180 29,204,090 14,602,045 43,806,136 21,903,068 10,951,534 5,475,767 16,427,302 8,213,651 24,640,954 12,320,477 36,961,432 18,480,716 9,240,358 4,620,179 13,860,538 6,930,269 20,790,808 10,395,404 5,197,702 2,598,851 7,796,554 3,898,277 11,694,832 5,847,416 2,923,708 1,461,854 730,927 2,192,782 1,096,391 3,289,174 1,644,587

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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