λ
Ratio Atlas
Atlas › Integer Profiles › Node 28,623,945
28,623,945
3 × 5 × 7 × 41 × 61 × 109
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 41 × 61 × 109
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 54,996,480
Proper Divisor Sum 26,372,535
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #28623929 ← → #28623949

Radix Representation

Decimal 28623945
Binary 1101101001100010001001001 (25 bits)
Octal 0o155142111
Hexadecimal 0x1B4C449

Divisor Catalog (60 of 64)

1 3 5 7 15 21 35 41 61 105 109 123 183 205 287 305 327 427 545 615 763 861 915 1,281 1,435 1,635 2,135 2,289 2,501 3,815 4,305 4,469 6,405 6,649 7,503 11,445 12,505 13,407 17,507 19,947 22,345 31,283 33,245 37,515 46,543 52,521 67,035 87,535 93,849 99,735 139,629 156,415 232,715 262,605 272,609 469,245 698,145 817,827 1,363,045 1,908,263

Collatz Trajectory (268 steps to reach 1)

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

28,623,945 85,871,836 42,935,918 21,467,959 64,403,878 32,201,939 96,605,818 48,302,909 144,908,728 72,454,364 36,227,182 18,113,591 54,340,774 27,170,387 81,511,162 40,755,581 122,266,744 61,133,372 30,566,686 15,283,343 45,850,030 22,925,015 68,775,046 34,387,523 103,162,570 51,581,285 154,743,856 77,371,928 38,685,964 19,342,982 9,671,491 29,014,474 14,507,237 43,521,712 21,760,856 10,880,428 5,440,214 2,720,107 8,160,322 4,080,161 12,240,484 6,120,242 3,060,121 9,180,364 4,590,182 2,295,091 6,885,274 3,442,637 10,327,912 5,163,956 2,581,978 1,290,989 3,872,968 1,936,484 968,242 484,121 1,452,364 726,182 363,091 1,089,274

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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