λ
Ratio Atlas
Atlas › Integer Profiles › Node 49,080,944
49,080,944
24 × 11 × 37 × 7537
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 11 × 37 × 7537
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 106,557,168
Proper Divisor Sum 57,476,224
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #49080943 ← → #49080953

Radix Representation

Decimal 49080944
Binary 10111011001110101001110000 (26 bits)
Octal 0o273165160
Hexadecimal 0x2ECEA70

Divisor Catalog (40)

1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 814 1,628 3,256 6,512 7,537 15,074 30,148 60,296 82,907 120,592 165,814 278,869 331,628 557,738 663,256 1,115,476 1,326,512 2,230,952 3,067,559 4,461,904 6,135,118 12,270,236 24,540,472 49,080,944

Collatz Trajectory (137 steps to reach 1)

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

49,080,944 24,540,472 12,270,236 6,135,118 3,067,559 9,202,678 4,601,339 13,804,018 6,902,009 20,706,028 10,353,014 5,176,507 15,529,522 7,764,761 23,294,284 11,647,142 5,823,571 17,470,714 8,735,357 26,206,072 13,103,036 6,551,518 3,275,759 9,827,278 4,913,639 14,740,918 7,370,459 22,111,378 11,055,689 33,167,068 16,583,534 8,291,767 24,875,302 12,437,651 37,312,954 18,656,477 55,969,432 27,984,716 13,992,358 6,996,179 20,988,538 10,494,269 31,482,808 15,741,404 7,870,702 3,935,351 11,806,054 5,903,027 17,709,082 8,854,541 26,563,624 13,281,812 6,640,906 3,320,453 9,961,360 4,980,680 2,490,340 1,245,170 622,585 1,867,756

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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