λ
Ratio Atlas
Atlas › Integer Profiles › Node 71,622,790
71,622,790
2 × 5 × 113 × 241 × 263
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 113 × 241 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 131,098,176
Proper Divisor Sum 59,475,386
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #71622767 ← → #71622791

Radix Representation

Decimal 71622790
Binary 100010001001110000010000110 (27 bits)
Octal 0o421160206
Hexadecimal 0x444E086

Divisor Catalog (32)

1 2 5 10 113 226 241 263 482 526 565 1,130 1,205 1,315 2,410 2,630 27,233 29,719 54,466 59,438 63,383 126,766 136,165 148,595 272,330 297,190 316,915 633,830 7,162,279 14,324,558 35,811,395 71,622,790

Collatz Trajectory (259 steps to reach 1)

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

71,622,790 35,811,395 107,434,186 53,717,093 161,151,280 80,575,640 40,287,820 20,143,910 10,071,955 30,215,866 15,107,933 45,323,800 22,661,900 11,330,950 5,665,475 16,996,426 8,498,213 25,494,640 12,747,320 6,373,660 3,186,830 1,593,415 4,780,246 2,390,123 7,170,370 3,585,185 10,755,556 5,377,778 2,688,889 8,066,668 4,033,334 2,016,667 6,050,002 3,025,001 9,075,004 4,537,502 2,268,751 6,806,254 3,403,127 10,209,382 5,104,691 15,314,074 7,657,037 22,971,112 11,485,556 5,742,778 2,871,389 8,614,168 4,307,084 2,153,542 1,076,771 3,230,314 1,615,157 4,845,472 2,422,736 1,211,368 605,684 302,842 151,421 454,264

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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