λ
Ratio Atlas
Atlas › Integer Profiles › Node 968,800
968,800
25 × 52 × 7 × 173
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 7 × 173
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 2,718,576
Proper Divisor Sum 1,749,776
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #968761 ← → #968801

Radix Representation

Decimal 968800
Binary 11101100100001100000 (20 bits)
Octal 0o3544140
Hexadecimal 0xEC860

Divisor Catalog (60 of 72)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 173 175 200 224 280 346 350 400 560 692 700 800 865 1,120 1,211 1,384 1,400 1,730 2,422 2,768 2,800 3,460 4,325 4,844 5,536 5,600 6,055 6,920 8,650 9,688 12,110 13,840 17,300 19,376 24,220 27,680 30,275

Collatz Trajectory (51 steps to reach 1)

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

968,800 484,400 242,200 121,100 60,550 30,275 90,826 45,413 136,240 68,120 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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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