λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,576,895
41,576,895
34 × 5 × 251 × 409
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 5 × 251 × 409
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 75,010,320
Proper Divisor Sum 33,433,425
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #41576861 ← → #41576903

Radix Representation

Decimal 41576895
Binary 10011110100110100110111111 (26 bits)
Octal 0o236464677
Hexadecimal 0x27A69BF

Divisor Catalog (40)

1 3 5 9 15 27 45 81 135 251 405 409 753 1,227 1,255 2,045 2,259 3,681 3,765 6,135 6,777 11,043 11,295 18,405 20,331 33,129 33,885 55,215 101,655 102,659 165,645 307,977 513,295 923,931 1,539,885 2,771,793 4,619,655 8,315,379 13,858,965 41,576,895

Collatz Trajectory (390 steps to reach 1)

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

41,576,895 124,730,686 62,365,343 187,096,030 93,548,015 280,644,046 140,322,023 420,966,070 210,483,035 631,449,106 315,724,553 947,173,660 473,586,830 236,793,415 710,380,246 355,190,123 1,065,570,370 532,785,185 1,598,355,556 799,177,778 399,588,889 1,198,766,668 599,383,334 299,691,667 899,075,002 449,537,501 1,348,612,504 674,306,252 337,153,126 168,576,563 505,729,690 252,864,845 758,594,536 379,297,268 189,648,634 94,824,317 284,472,952 142,236,476 71,118,238 35,559,119 106,677,358 53,338,679 160,016,038 80,008,019 240,024,058 120,012,029 360,036,088 180,018,044 90,009,022 45,004,511 135,013,534 67,506,767 202,520,302 101,260,151 303,780,454 151,890,227 455,670,682 227,835,341 683,506,024 341,753,012

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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