λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,088,892
71,088,892
22 × 7 × 71 × 35759
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 71 × 35759
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 144,184,320
Proper Divisor Sum 73,095,428
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #71088881 ← → #71088893

Radix Representation

Decimal 71088892
Binary 100001111001011101011111100 (27 bits)
Octal 0o417135374
Hexadecimal 0x43CBAFC

Divisor Catalog (24)

1 2 4 7 14 28 71 142 284 497 994 1,988 35,759 71,518 143,036 250,313 500,626 1,001,252 2,538,889 5,077,778 10,155,556 17,772,223 35,544,446 71,088,892

Collatz Trajectory (197 steps to reach 1)

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

71,088,892 35,544,446 17,772,223 53,316,670 26,658,335 79,975,006 39,987,503 119,962,510 59,981,255 179,943,766 89,971,883 269,915,650 134,957,825 404,873,476 202,436,738 101,218,369 303,655,108 151,827,554 75,913,777 227,741,332 113,870,666 56,935,333 170,806,000 85,403,000 42,701,500 21,350,750 10,675,375 32,026,126 16,013,063 48,039,190 24,019,595 72,058,786 36,029,393 108,088,180 54,044,090 27,022,045 81,066,136 40,533,068 20,266,534 10,133,267 30,399,802 15,199,901 45,599,704 22,799,852 11,399,926 5,699,963 17,099,890 8,549,945 25,649,836 12,824,918 6,412,459 19,237,378 9,618,689 28,856,068 14,428,034 7,214,017 21,642,052 10,821,026 5,410,513 16,231,540

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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