λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,456,920
4,456,920
23 × 3 × 5 × 13 × 2857
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 2857
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 14,404,320
Proper Divisor Sum 9,947,400
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4456897 ← → #4456931

Radix Representation

Decimal 4456920
Binary 10001000000000111011000 (23 bits)
Octal 0o21000730
Hexadecimal 0x4401D8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1,560 2,857 5,714 8,571 11,428 14,285 17,142 22,856 28,570 34,284 37,141 42,855 57,140 68,568 74,282 85,710 111,423 114,280 148,564 171,420 185,705 222,846 297,128 342,840 371,410 445,692 557,115 742,820 891,384

Collatz Trajectory (180 steps to reach 1)

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

4,456,920 2,228,460 1,114,230 557,115 1,671,346 835,673 2,507,020 1,253,510 626,755 1,880,266 940,133 2,820,400 1,410,200 705,100 352,550 176,275 528,826 264,413 793,240 396,620 198,310 99,155 297,466 148,733 446,200 223,100 111,550 55,775 167,326 83,663 250,990 125,495 376,486 188,243 564,730 282,365 847,096 423,548 211,774 105,887 317,662 158,831 476,494 238,247 714,742 357,371 1,072,114 536,057 1,608,172 804,086 402,043 1,206,130 603,065 1,809,196 904,598 452,299 1,356,898 678,449 2,035,348 1,017,674

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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