λ
Ratio Atlas
Atlas › Integer Profiles › Node 11,291,070
11,291,070
2 × 3 × 5 × 72 × 7681
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 7681
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,526,928
Proper Divisor Sum 20,235,858
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #11291053 ← → #11291101

Radix Representation

Decimal 11291070
Binary 101011000100100110111110 (24 bits)
Octal 0o53044676
Hexadecimal 0xAC49BE

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1,470 7,681 15,362 23,043 38,405 46,086 53,767 76,810 107,534 115,215 161,301 230,430 268,835 322,602 376,369 537,670 752,738 806,505 1,129,107 1,613,010 1,881,845 2,258,214 3,763,690 5,645,535 11,291,070

Collatz Trajectory (158 steps to reach 1)

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

11,291,070 5,645,535 16,936,606 8,468,303 25,404,910 12,702,455 38,107,366 19,053,683 57,161,050 28,580,525 85,741,576 42,870,788 21,435,394 10,717,697 32,153,092 16,076,546 8,038,273 24,114,820 12,057,410 6,028,705 18,086,116 9,043,058 4,521,529 13,564,588 6,782,294 3,391,147 10,173,442 5,086,721 15,260,164 7,630,082 3,815,041 11,445,124 5,722,562 2,861,281 8,583,844 4,291,922 2,145,961 6,437,884 3,218,942 1,609,471 4,828,414 2,414,207 7,242,622 3,621,311 10,863,934 5,431,967 16,295,902 8,147,951 24,443,854 12,221,927 36,665,782 18,332,891 54,998,674 27,499,337 82,498,012 41,249,006 20,624,503 61,873,510 30,936,755 92,810,266

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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