λ
Ratio Atlas
Atlas › Integer Profiles › Node 28,293,075
28,293,075
32 × 52 × 41 × 3067
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5^2 × 41 × 3067
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 51,928,968
Proper Divisor Sum 23,635,893
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #28293073 ← → #28293077

Radix Representation

Decimal 28293075
Binary 1101011111011011111010011 (25 bits)
Octal 0o153733723
Hexadecimal 0x1AFB7D3

Divisor Catalog (36)

1 3 5 9 15 25 41 45 75 123 205 225 369 615 1,025 1,845 3,067 3,075 9,201 9,225 15,335 27,603 46,005 76,675 125,747 138,015 230,025 377,241 628,735 690,075 1,131,723 1,886,205 3,143,675 5,658,615 9,431,025 28,293,075

Collatz Trajectory (180 steps to reach 1)

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

28,293,075 84,879,226 42,439,613 127,318,840 63,659,420 31,829,710 15,914,855 47,744,566 23,872,283 71,616,850 35,808,425 107,425,276 53,712,638 26,856,319 80,568,958 40,284,479 120,853,438 60,426,719 181,280,158 90,640,079 271,920,238 135,960,119 407,880,358 203,940,179 611,820,538 305,910,269 917,730,808 458,865,404 229,432,702 114,716,351 344,149,054 172,074,527 516,223,582 258,111,791 774,335,374 387,167,687 1,161,503,062 580,751,531 1,742,254,594 871,127,297 2,613,381,892 1,306,690,946 653,345,473 1,960,036,420 980,018,210 490,009,105 1,470,027,316 735,013,658 367,506,829 1,102,520,488 551,260,244 275,630,122 137,815,061 413,445,184 206,722,592 103,361,296 51,680,648 25,840,324 12,920,162 6,460,081

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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