λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,929,752
44,929,752
23 × 3 × 7 × 267439
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 267439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 128,371,200
Proper Divisor Sum 83,441,448
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #44929751 ← → #44929763

Radix Representation

Decimal 44929752
Binary 10101011011001001011011000 (26 bits)
Octal 0o253311330
Hexadecimal 0x2AD92D8

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 267,439 534,878 802,317 1,069,756 1,604,634 1,872,073 2,139,512 3,209,268 3,744,146 5,616,219 6,418,536 7,488,292 11,232,438 14,976,584 22,464,876 44,929,752

Collatz Trajectory (186 steps to reach 1)

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

44,929,752 22,464,876 11,232,438 5,616,219 16,848,658 8,424,329 25,272,988 12,636,494 6,318,247 18,954,742 9,477,371 28,432,114 14,216,057 42,648,172 21,324,086 10,662,043 31,986,130 15,993,065 47,979,196 23,989,598 11,994,799 35,984,398 17,992,199 53,976,598 26,988,299 80,964,898 40,482,449 121,447,348 60,723,674 30,361,837 91,085,512 45,542,756 22,771,378 11,385,689 34,157,068 17,078,534 8,539,267 25,617,802 12,808,901 38,426,704 19,213,352 9,606,676 4,803,338 2,401,669 7,205,008 3,602,504 1,801,252 900,626 450,313 1,350,940 675,470 337,735 1,013,206 506,603 1,519,810 759,905 2,279,716 1,139,858 569,929 1,709,788

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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