λ
Ratio Atlas
Atlas › Integer Profiles › Node 825,440
825,440
25 × 5 × 7 × 11 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 11 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 2,467,584
Proper Divisor Sum 1,642,144
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #825439 ← → #825443

Radix Representation

Decimal 825440
Binary 11001001100001100000 (20 bits)
Octal 0o3114140
Hexadecimal 0xC9860

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 67 70 77 80 88 110 112 134 140 154 160 176 220 224 268 280 308 335 352 385 440 469 536 560 616 670 737 770 880 938 1,072 1,120 1,232 1,340 1,474 1,540 1,760 1,876 2,144 2,345 2,464

Collatz Trajectory (69 steps to reach 1)

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

825,440 412,720 206,360 103,180 51,590 25,795 77,386 38,693 116,080 58,040 29,020 14,510 7,255 21,766 10,883 32,650 16,325 48,976 24,488 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26

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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