λ
Ratio Atlas
Atlas › Integer Profiles › Node 67,775,140
67,775,140
22 × 5 × 113 × 29989
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 113 × 29989
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 143,592,120
Proper Divisor Sum 75,816,980
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #67775137 ← → #67775143

Radix Representation

Decimal 67775140
Binary 100000010100010101010100100 (27 bits)
Octal 0o402425244
Hexadecimal 0x40A2AA4

Divisor Catalog (24)

1 2 4 5 10 20 113 226 452 565 1,130 2,260 29,989 59,978 119,956 149,945 299,890 599,780 3,388,757 6,777,514 13,555,028 16,943,785 33,887,570 67,775,140

Collatz Trajectory (277 steps to reach 1)

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

67,775,140 33,887,570 16,943,785 50,831,356 25,415,678 12,707,839 38,123,518 19,061,759 57,185,278 28,592,639 85,777,918 42,888,959 128,666,878 64,333,439 193,000,318 96,500,159 289,500,478 144,750,239 434,250,718 217,125,359 651,376,078 325,688,039 977,064,118 488,532,059 1,465,596,178 732,798,089 2,198,394,268 1,099,197,134 549,598,567 1,648,795,702 824,397,851 2,473,193,554 1,236,596,777 3,709,790,332 1,854,895,166 927,447,583 2,782,342,750 1,391,171,375 4,173,514,126 2,086,757,063 6,260,271,190 3,130,135,595 9,390,406,786 4,695,203,393 14,085,610,180 7,042,805,090 3,521,402,545 10,564,207,636 5,282,103,818 2,641,051,909 7,923,155,728 3,961,577,864 1,980,788,932 990,394,466 495,197,233 1,485,591,700 742,795,850 371,397,925 1,114,193,776 557,096,888

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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