λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,089,262
72,089,262
2 × 32 × 7 × 572137
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 572137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 178,507,056
Proper Divisor Sum 106,417,794
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #72089261 ← → #72089309

Radix Representation

Decimal 72089262
Binary 100010010111111111010101110 (27 bits)
Octal 0o422777256
Hexadecimal 0x44BFEAE

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 572,137 1,144,274 1,716,411 3,432,822 4,004,959 5,149,233 8,009,918 10,298,466 12,014,877 24,029,754 36,044,631 72,089,262

Collatz Trajectory (259 steps to reach 1)

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

72,089,262 36,044,631 108,133,894 54,066,947 162,200,842 81,100,421 243,301,264 121,650,632 60,825,316 30,412,658 15,206,329 45,618,988 22,809,494 11,404,747 34,214,242 17,107,121 51,321,364 25,660,682 12,830,341 38,491,024 19,245,512 9,622,756 4,811,378 2,405,689 7,217,068 3,608,534 1,804,267 5,412,802 2,706,401 8,119,204 4,059,602 2,029,801 6,089,404 3,044,702 1,522,351 4,567,054 2,283,527 6,850,582 3,425,291 10,275,874 5,137,937 15,413,812 7,706,906 3,853,453 11,560,360 5,780,180 2,890,090 1,445,045 4,335,136 2,167,568 1,083,784 541,892 270,946 135,473 406,420 203,210 101,605 304,816 152,408 76,204

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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