λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,988,950
80,988,950
2 × 52 × 7 × 149 × 1553
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 149 × 1553
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 173,426,400
Proper Divisor Sum 92,437,450
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #80988949 ← → #80988959

Radix Representation

Decimal 80988950
Binary 100110100111100101100010110 (27 bits)
Octal 0o464745426
Hexadecimal 0x4D3CB16

Divisor Catalog (48)

1 2 5 7 10 14 25 35 50 70 149 175 298 350 745 1,043 1,490 1,553 2,086 3,106 3,725 5,215 7,450 7,765 10,430 10,871 15,530 21,742 26,075 38,825 52,150 54,355 77,650 108,710 231,397 271,775 462,794 543,550 1,156,985 1,619,779 2,313,970 3,239,558 5,784,925 8,098,895 11,569,850 16,197,790 40,494,475 80,988,950

Collatz Trajectory (254 steps to reach 1)

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

80,988,950 40,494,475 121,483,426 60,741,713 182,225,140 91,112,570 45,556,285 136,668,856 68,334,428 34,167,214 17,083,607 51,250,822 25,625,411 76,876,234 38,438,117 115,314,352 57,657,176 28,828,588 14,414,294 7,207,147 21,621,442 10,810,721 32,432,164 16,216,082 8,108,041 24,324,124 12,162,062 6,081,031 18,243,094 9,121,547 27,364,642 13,682,321 41,046,964 20,523,482 10,261,741 30,785,224 15,392,612 7,696,306 3,848,153 11,544,460 5,772,230 2,886,115 8,658,346 4,329,173 12,987,520 6,493,760 3,246,880 1,623,440 811,720 405,860 202,930 101,465 304,396 152,198 76,099 228,298 114,149 342,448 171,224 85,612

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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