λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,327,240
52,327,240
23 × 5 × 7 × 186883
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 186883
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 134,556,480
Proper Divisor Sum 82,229,240
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #52327217 ← → #52327243

Radix Representation

Decimal 52327240
Binary 11000111100111001101001000 (26 bits)
Octal 0o307471510
Hexadecimal 0x31E7348

Divisor Catalog (32)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 186,883 373,766 747,532 934,415 1,308,181 1,495,064 1,868,830 2,616,362 3,737,660 5,232,724 6,540,905 7,475,320 10,465,448 13,081,810 26,163,620 52,327,240

Collatz Trajectory (274 steps to reach 1)

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

52,327,240 26,163,620 13,081,810 6,540,905 19,622,716 9,811,358 4,905,679 14,717,038 7,358,519 22,075,558 11,037,779 33,113,338 16,556,669 49,670,008 24,835,004 12,417,502 6,208,751 18,626,254 9,313,127 27,939,382 13,969,691 41,909,074 20,954,537 62,863,612 31,431,806 15,715,903 47,147,710 23,573,855 70,721,566 35,360,783 106,082,350 53,041,175 159,123,526 79,561,763 238,685,290 119,342,645 358,027,936 179,013,968 89,506,984 44,753,492 22,376,746 11,188,373 33,565,120 16,782,560 8,391,280 4,195,640 2,097,820 1,048,910 524,455 1,573,366 786,683 2,360,050 1,180,025 3,540,076 1,770,038 885,019 2,655,058 1,327,529 3,982,588 1,991,294

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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