λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,367,448
40,367,448
23 × 32 × 11 × 50969
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 11 × 50969
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 119,269,800
Proper Divisor Sum 78,902,352
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #40367447 ← → #40367471

Radix Representation

Decimal 40367448
Binary 10011001111111010101011000 (26 bits)
Octal 0o231772530
Hexadecimal 0x267F558

Divisor Catalog (48)

1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 50,969 101,938 152,907 203,876 305,814 407,752 458,721 560,659 611,628 917,442 1,121,318 1,223,256 1,681,977 1,834,884 2,242,636 3,363,954 3,669,768 4,485,272 5,045,931 6,727,908 10,091,862 13,455,816 20,183,724 40,367,448

Collatz Trajectory (284 steps to reach 1)

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

40,367,448 20,183,724 10,091,862 5,045,931 15,137,794 7,568,897 22,706,692 11,353,346 5,676,673 17,030,020 8,515,010 4,257,505 12,772,516 6,386,258 3,193,129 9,579,388 4,789,694 2,394,847 7,184,542 3,592,271 10,776,814 5,388,407 16,165,222 8,082,611 24,247,834 12,123,917 36,371,752 18,185,876 9,092,938 4,546,469 13,639,408 6,819,704 3,409,852 1,704,926 852,463 2,557,390 1,278,695 3,836,086 1,918,043 5,754,130 2,877,065 8,631,196 4,315,598 2,157,799 6,473,398 3,236,699 9,710,098 4,855,049 14,565,148 7,282,574 3,641,287 10,923,862 5,461,931 16,385,794 8,192,897 24,578,692 12,289,346 6,144,673 18,434,020 9,217,010

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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