λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,833,720
44,833,720
23 × 5 × 67 × 16729
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 67 × 16729
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 102,387,600
Proper Divisor Sum 57,553,880
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #44833669 ← → #44833721

Radix Representation

Decimal 44833720
Binary 10101011000001101110111000 (26 bits)
Octal 0o253015670
Hexadecimal 0x2AC1BB8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 67 134 268 335 536 670 1,340 2,680 16,729 33,458 66,916 83,645 133,832 167,290 334,580 669,160 1,120,843 2,241,686 4,483,372 5,604,215 8,966,744 11,208,430 22,416,860 44,833,720

Collatz Trajectory (142 steps to reach 1)

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

44,833,720 22,416,860 11,208,430 5,604,215 16,812,646 8,406,323 25,218,970 12,609,485 37,828,456 18,914,228 9,457,114 4,728,557 14,185,672 7,092,836 3,546,418 1,773,209 5,319,628 2,659,814 1,329,907 3,989,722 1,994,861 5,984,584 2,992,292 1,496,146 748,073 2,244,220 1,122,110 561,055 1,683,166 841,583 2,524,750 1,262,375 3,787,126 1,893,563 5,680,690 2,840,345 8,521,036 4,260,518 2,130,259 6,390,778 3,195,389 9,586,168 4,793,084 2,396,542 1,198,271 3,594,814 1,797,407 5,392,222 2,696,111 8,088,334 4,044,167 12,132,502 6,066,251 18,198,754 9,099,377 27,298,132 13,649,066 6,824,533 20,473,600 10,236,800

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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