λ
Ratio Atlas
Atlas › Integer Profiles › Node 28,623,975
28,623,975
3 × 52 × 19 × 53 × 379
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5^2 × 19 × 53 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 50,889,600
Proper Divisor Sum 22,265,625
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #28623949 ← → #28623979

Radix Representation

Decimal 28623975
Binary 1101101001100010001100111 (25 bits)
Octal 0o155142147
Hexadecimal 0x1B4C467

Divisor Catalog (48)

1 3 5 15 19 25 53 57 75 95 159 265 285 379 475 795 1,007 1,137 1,325 1,425 1,895 3,021 3,975 5,035 5,685 7,201 9,475 15,105 20,087 21,603 25,175 28,425 36,005 60,261 75,525 100,435 108,015 180,025 301,305 381,653 502,175 540,075 1,144,959 1,506,525 1,908,265 5,724,795 9,541,325 28,623,975

Collatz Trajectory (268 steps to reach 1)

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

28,623,975 85,871,926 42,935,963 128,807,890 64,403,945 193,211,836 96,605,918 48,302,959 144,908,878 72,454,439 217,363,318 108,681,659 326,044,978 163,022,489 489,067,468 244,533,734 122,266,867 366,800,602 183,400,301 550,200,904 275,100,452 137,550,226 68,775,113 206,325,340 103,162,670 51,581,335 154,744,006 77,372,003 232,116,010 116,058,005 348,174,016 174,087,008 87,043,504 43,521,752 21,760,876 10,880,438 5,440,219 16,320,658 8,160,329 24,480,988 12,240,494 6,120,247 18,360,742 9,180,371 27,541,114 13,770,557 41,311,672 20,655,836 10,327,918 5,163,959 15,491,878 7,745,939 23,237,818 11,618,909 34,856,728 17,428,364 8,714,182 4,357,091 13,071,274 6,535,637

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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