λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,047,070
72,047,070
2 × 36 × 5 × 9883
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^6 × 5 × 9883
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 194,457,816
Proper Divisor Sum 122,410,746
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #72047051 ← → #72047081

Radix Representation

Decimal 72047070
Binary 100010010110101100111011110 (27 bits)
Octal 0o422654736
Hexadecimal 0x44B59DE

Divisor Catalog (56)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1,215 1,458 2,430 3,645 7,290 9,883 19,766 29,649 49,415 59,298 88,947 98,830 148,245 177,894 266,841 296,490 444,735 533,682 800,523 889,470 1,334,205 1,601,046 2,401,569 2,668,410 4,002,615 4,803,138 7,204,707 8,005,230 12,007,845 14,409,414 24,015,690 36,023,535 72,047,070

Collatz Trajectory (365 steps to reach 1)

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

72,047,070 36,023,535 108,070,606 54,035,303 162,105,910 81,052,955 243,158,866 121,579,433 364,738,300 182,369,150 91,184,575 273,553,726 136,776,863 410,330,590 205,165,295 615,495,886 307,747,943 923,243,830 461,621,915 1,384,865,746 692,432,873 2,077,298,620 1,038,649,310 519,324,655 1,557,973,966 778,986,983 2,336,960,950 1,168,480,475 3,505,441,426 1,752,720,713 5,258,162,140 2,629,081,070 1,314,540,535 3,943,621,606 1,971,810,803 5,915,432,410 2,957,716,205 8,873,148,616 4,436,574,308 2,218,287,154 1,109,143,577 3,327,430,732 1,663,715,366 831,857,683 2,495,573,050 1,247,786,525 3,743,359,576 1,871,679,788 935,839,894 467,919,947 1,403,759,842 701,879,921 2,105,639,764 1,052,819,882 526,409,941 1,579,229,824 789,614,912 394,807,456 197,403,728 98,701,864

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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