λ
Ratio Atlas
Atlas › Integer Profiles › Node 752,080
752,080
24 × 5 × 7 × 17 × 79
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 17 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 2,142,720
Proper Divisor Sum 1,390,640
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #752053 ← → #752083

Radix Representation

Decimal 752080
Binary 10110111100111010000 (20 bits)
Octal 0o2674720
Hexadecimal 0xB79D0

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 79 80 85 112 119 136 140 158 170 238 272 280 316 340 395 476 553 560 595 632 680 790 952 1,106 1,190 1,264 1,343 1,360 1,580 1,904 2,212 2,380 2,686 2,765 3,160 4,424 4,760 5,372 5,530 6,320 6,715 8,848

Collatz Trajectory (61 steps to reach 1)

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

752,080 376,040 188,020 94,010 47,005 141,016 70,508 35,254 17,627 52,882 26,441 79,324 39,662 19,831 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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