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Ratio Atlas
Atlas › Integer Profiles › Node 40,501,539
40,501,539
35 × 13 × 12821
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 13 × 12821
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 65,340,912
Proper Divisor Sum 24,839,373
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #40501529 ← → #40501541

Radix Representation

Decimal 40501539
Binary 10011010100000000100100011 (26 bits)
Octal 0o232400443
Hexadecimal 0x26A0123

Divisor Catalog (24)

1 3 9 13 27 39 81 117 243 351 1,053 3,159 12,821 38,463 115,389 166,673 346,167 500,019 1,038,501 1,500,057 3,115,503 4,500,171 13,500,513 40,501,539

Collatz Trajectory (253 steps to reach 1)

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

40,501,539 121,504,618 60,752,309 182,256,928 91,128,464 45,564,232 22,782,116 11,391,058 5,695,529 17,086,588 8,543,294 4,271,647 12,814,942 6,407,471 19,222,414 9,611,207 28,833,622 14,416,811 43,250,434 21,625,217 64,875,652 32,437,826 16,218,913 48,656,740 24,328,370 12,164,185 36,492,556 18,246,278 9,123,139 27,369,418 13,684,709 41,054,128 20,527,064 10,263,532 5,131,766 2,565,883 7,697,650 3,848,825 11,546,476 5,773,238 2,886,619 8,659,858 4,329,929 12,989,788 6,494,894 3,247,447 9,742,342 4,871,171 14,613,514 7,306,757 21,920,272 10,960,136 5,480,068 2,740,034 1,370,017 4,110,052 2,055,026 1,027,513 3,082,540 1,541,270

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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