λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,267,640
72,267,640
23 × 5 × 19 × 95089
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 95089
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 171,162,000
Proper Divisor Sum 98,894,360
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #72267593 ← → #72267641

Radix Representation

Decimal 72267640
Binary 100010011101011011101111000 (27 bits)
Octal 0o423533570
Hexadecimal 0x44EB778

Divisor Catalog (32)

1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 95,089 190,178 380,356 475,445 760,712 950,890 1,806,691 1,901,780 3,613,382 3,803,560 7,226,764 9,033,455 14,453,528 18,066,910 36,133,820 72,267,640

Collatz Trajectory (140 steps to reach 1)

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

72,267,640 36,133,820 18,066,910 9,033,455 27,100,366 13,550,183 40,650,550 20,325,275 60,975,826 30,487,913 91,463,740 45,731,870 22,865,935 68,597,806 34,298,903 102,896,710 51,448,355 154,345,066 77,172,533 231,517,600 115,758,800 57,879,400 28,939,700 14,469,850 7,234,925 21,704,776 10,852,388 5,426,194 2,713,097 8,139,292 4,069,646 2,034,823 6,104,470 3,052,235 9,156,706 4,578,353 13,735,060 6,867,530 3,433,765 10,301,296 5,150,648 2,575,324 1,287,662 643,831 1,931,494 965,747 2,897,242 1,448,621 4,345,864 2,172,932 1,086,466 543,233 1,629,700 814,850 407,425 1,222,276 611,138 305,569 916,708 458,354

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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