λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,875,870
71,875,870
2 × 5 × 11 × 41 × 15937
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 11 × 41 × 15937
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 144,589,536
Proper Divisor Sum 72,713,666
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #71875861 ← → #71875871

Radix Representation

Decimal 71875870
Binary 100010010001011110100011110 (27 bits)
Octal 0o422136436
Hexadecimal 0x448BD1E

Divisor Catalog (32)

1 2 5 10 11 22 41 55 82 110 205 410 451 902 2,255 4,510 15,937 31,874 79,685 159,370 175,307 350,614 653,417 876,535 1,306,834 1,753,070 3,267,085 6,534,170 7,187,587 14,375,174 35,937,935 71,875,870

Collatz Trajectory (166 steps to reach 1)

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

71,875,870 35,937,935 107,813,806 53,906,903 161,720,710 80,860,355 242,581,066 121,290,533 363,871,600 181,935,800 90,967,900 45,483,950 22,741,975 68,225,926 34,112,963 102,338,890 51,169,445 153,508,336 76,754,168 38,377,084 19,188,542 9,594,271 28,782,814 14,391,407 43,174,222 21,587,111 64,761,334 32,380,667 97,142,002 48,571,001 145,713,004 72,856,502 36,428,251 109,284,754 54,642,377 163,927,132 81,963,566 40,981,783 122,945,350 61,472,675 184,418,026 92,209,013 276,627,040 138,313,520 69,156,760 34,578,380 17,289,190 8,644,595 25,933,786 12,966,893 38,900,680 19,450,340 9,725,170 4,862,585 14,587,756 7,293,878 3,646,939 10,940,818 5,470,409 16,411,228

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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